Compute for the derivative of the function below for x = 1 and a =

2.

f(x)=2af(x)=2a
0
Answer:
Compute for the derivative of the function below for x = 1.

y=34x2−−√5−6x−−√+x−13y=34x25−6x+x−13
2.966667
Answer:
Compute for the derivative of the function below for x = 1.

y=x6+12x+8x3−−√4y=x6+12x+8x34
11.5
Answer:
Compute for the second derivative of the given function for x = -5.

y=2x3+3x2−12x+7y=2x3+3x2−12x+7
-54
Answer:
Compute for the derivative of the function below for x = 1. Use 3.14
for the value of pi.

y=x3+5x2−4πy=x3+5x2−4π
13
Answer:
Compute for the derivative of the given function for x = -2.

y=(2x−3x+2)4y=(2x−3x+2)4
0.14344
Answer:
Compute for the derivative of the function below for x = 1.

y=3x14−13x+14x5−−√6y=3x14−13x+14x56
 12.75
Answer:

A cylindrical glass jar has a plastic lid. If the plastic is half

as expensive as glass, per unit area, what is the most
economical height of the jar (in inches) if its radius is 6
inches? Use 3.141592654 for the value of pi.
9
Answer:
Compute for the second derivative of the given function for x = -5.
The given angle is in radians.

g(x)=2sinxcosxcosxsinxg(x)=2sinxcosxcosxsinx
3.36
Answer:
Compute for the derivative of the given function for x = -1. The
angle is in radians.

y=3cos(x2+1)y=3cos(x2+1)
5.46
Answer:
Compute for the derivative of the function below for x = 1.

y=(3x+44x−3)2−−−−−−√3y=(3x+44x−3)23
-8.71
Answer:
Compute for the derivative of the function below for x = 2.

y=(2x−34)(12−x2)y=(2x−34)(12−x2)
2.375
Answer:

What is the slope of the tangent line at the given point?

y=1−x3;at(2,−7)y=1−x3;at(2,−7)
-11
Answer:
valuate the limit of:

limx→3(x2+7x−5)limx→3(x2+7x−5)
25
Answer:

Evaluate the limit of:

limx→2x−1x+2−−−√limx→2x−1x+2
0.5
Answer:

What is the value of the derivative for the given value of t?

f(t)=(2t−5)(3t+4);whent=12f(t)=(2t−5)(3t+4);whent=12
-1
Answer:

Evaluate the limit of:

limx→5log3x2+4−−−−−√3limx→5log3⁡x2+43
1.02
Answer:
Is the given piecewise function continuous at x = 3?

Select one:
a. Yes, since the piecewise function is defined at x = 3.
b. Yes, since the graphs of the sub-functions will meet at x = 3.
c. No, since the graphs of the sub-functions will not meet at x = 3.

d. No, since the piecewise function is undefined at x = 3.

Evaluate the limit of:
limx→πsin(x+sin x)limx→πsin(x+sin x)

The given angle is in radians.

0
Answer:

Evaluate the limit of:

limx→π4sin x+cos xtan xlimx→π4sin x+cos xtan x

The given angle is in radians.

1.41
Answer:

What is the value of the derivative for the given value of x?

y=4x5+x2;whenx=10y=4x5+x2;whenx=10
200020
Answer:

Evaluate the limit of:

limx→−1(x2+2)x2+x+5−−−−−−−−√limx→−1(x2+2)x2+x+5
6.71
Answer:

What is the slope of the tangent line at the given point?

y=x3+2x;atx=0y=x3+2x;atx=0

2
Answer:

What is the slope of the tangent line at the given point?

y=2x−2;at(1,2)y=2x−2;at(1,2)

-4
Answer:

Evaluate the limit of:

limx→2(34xe2x)limx→2(34xe2x)
358218.46
Answer:
Evaluate the limit of:

limx→5x2−25x−5limx→5x2−25x−5

10
Answer:
Evaluate the limit of:

limx→24x−5limx→24x−5
3
Answer:

Is the given function continuous for values less than 1?

g(x)=x2−1x−1g(x)=x2−1x−1

Select one:
a. Yes, since the function will always be defined within the interval.
b. No, since there are some values in the interval where the function is
undefined.
c. No, since the function can be graphed using analytical methods.

d. Yes, since the function can be graphed using a table of values only.
Evaluate the limit of:
limr→18r+1r+3−−−−√limr→18r+1r+3
1.5
Answer:
Evaluate the limit of:

limx→1x2−1x−1limx→1x2−1x−1
2
Answer:

Is the given function continuous for all real numbers?

g(x)=x2−1x−1g(x)=x2−1x−1
Select one:
a. Yes, since the function will always be defined for any value of x.
b. Yes, since the function can be graphed using analytical methods.
c. No, since the function will be undefined for some values of x.

d. No, since the function can be graphed using a table of values only.

Evaluate the limit of:

limx→1x2+1−−−−−√limx→1x2+1
1.41
Answer:

Is the given function continuous at x = 1?

f(x)=x2−1x−1f(x)=x2−1x−1

Select one:
a. No, since the function has a value of 2 at x = 1.
b. No, since the function is undefined at x = 1.
c. Yes, since the function is defined at x = 1.

d. Yes, since the function has a value of 2 at x = 1.

Evaluate the limit of:
limx→12(x+2)(x2−3x+1)limx→12(x+2)(x2−3x+1)
-0.625
Answer:

Is the given function continuous for x greater than or equal

to 1?

f(x)=x2x+6−−−−√f(x)=x2x+6
Select one:
a. Yes, since the function can be graphed using analytical methods.
b. No, since the function will be undefined for some values of x.
c. No, since the function can be graphed using a table of values only.

d. Yes, since the function will always be defined for any value of x.

Evaluate the limit of:

limx→1(2x)x2limx→1(2x)x2
2
Answer:

Evaluate the limit of:

limx→πsin(x+sin x)limx→πsin(x+sin x)

The given angle is in radians.

0
Answer:
Evaluate the limit of:

limx→2x2−1x−1limx→2x2−1x−1
 3
Answer:

Evaluate the limit of:

limx→−1(x2+2)x2+x+5−−−−−−−−√limx→−1(x2+2)x2+x+5
6.708203933
Answer:
Evaluate the limit of:

limr→18r+1r+3−−−−√limr→18r+1r+3
1.5
Answer:
Evaluate the limit of:

limx→1x−1x+3−−−−√−2limx→1x−1x+3−2
4
Answer:

Find the general equation of the line tangent to the

equation below at the given point.
What is the coefficient of y in the equation of the tangent
line?
y=x3+2x;atx=0y=x3+2x;atx=0

1
Answer:

Is the given function continuous at x = 1?

f(x)=1x−1f(x)=1x−1
Select one:
a. Yes, since the value of the function at x = 1 is 1 over 0.
b. Yes, since the function is defined at x = 1.
c. No, since the function is undefined at x = 1.

d. No, since the value of the function at x = 1 is 1 over 0.

Evaluate the limit of:

limx→3e4xe3x+2limx→3e4xe3x+2
20.08058
Answer:

What is the value of the derivative for the given value of x?

y=13x3+12x2+x+1;when x=6.42y=13x3+12x2+x+1;when x
=6.42
48.6364
Answer:

Evaluate the limit of:

limx→4(2x+1)xlimx→4(2x+1)x

6561
Answer:

Find the general equation of the line tangent to the

equation below at the given point.
What is the value of the constant in the equation of the
tangent line?
y=42−4x+1;atx=1y=42−4x+1;atx=1

3
Answer:

What is the value of the derivative for the given value of x?

y=x35;whenx=1y=x35;whenx=1
35
Answer:

Evaluate the limit of:

limx→01−cos xxlimx→01−cos xx
The given angle is in radians.
0
Answer:
Find the general equation of the line tangent to the equation below
at the given point.

What is the coefficient of x in the equation of the tangent line?

y=x2−1;at(2,3)y=x2−1;at(2,3)
4
Answer:

Evaluate the limit of:

limx→1(2x)x2limx→1(2x)x2
2
Answer:
Evaluate the limit of:

limx→24x−5limx→24x−5
 3
Answer:

Evaluate the limit of:

limx→5log3x2+4−−−−−√3limx→5log3⁡x2+43
1.02
Answer:

Is the given function continuous at x = 1?

f(x)=2x2−3x+1f(x)=2x2−3x+1
Select one:
a. Yes, since the function is defined at x = 1.
b. Yes, since the value of the function at x = 1 is 4.
c. No, since the value of the function at x = 1 is 4.

d. No, since the function is undefined at x = 1.

Is the given piecewise function continuous at x = 2?

Select one:
a. No, since the graphs of the sub-functions will not meet at x = 2.
b. No, since the sub-function already defined that the function is undefined at x
= 2.
c. Yes, since the graphs of the sub-functions will meet at x = 2.

d. Yes, since the piecewise function has a value at x = 2.

Is the given piecewise function continuous for the defined

interval?
Select one:
a. No, since there are some values of x where the piecewise function will be
undefined.
b. Yes, since the piecewise function will always be defined within the interval.
c. Yes, since the graphs of the sub-functions will meet at x = 0.

d. No, since the graphs of the sub-functions do not have a common point.

Is the given function continuous for all real numbers?

f(x)=x4+2x3−8x+1f(x)=x4+2x3−8x+1
Select one:
a. No, since the function can only be graphed using a table of values.
b. Yes, since the function can be graphed using analytical methods.
c. Yes, since the function will always be defined for any value of x.

d. No, since the function will be undefined for some values of x.

Is the function below continuous for all real numbers?

f(x)=(x−5)3(x2+4)5f(x)=(x−5)3(x2+4)5
Select one:
a. The functions is not continuous since there are restrictions for its domain
values.
b. The function is continuous for all real numbers since it can yield both positive
and negative values.
c. The function is continuous for all real numbers since it will always be defined
for any value of x.

d. The function is continuous for all real numbers since it involves a cubic
function.

Evaluate the limit of:

limx→2x−1x+2−−−√limx→2x−1x+2
0.5
Answer:
Evaluate the limit of:

limx→2x2−6x+8x3−4limx→2x2−6x+8x3−4
0
Answer:
Consider the function below. Is this continuous for all real numbers?

f(x)=1x−2f(x)=1x−2
Select one:
a. The function is not continuous for all real numbers since it can yield negative
values.
b. The function is not continuous for all real numbers since there are restrictions
for its domain values.
c. The function is not continuous since its graph is aysmptotic to the x-axis.

d. The function is continuous since it can yield both positive and negative
values.
Evaluate the limit of:

limx→∞(0.1x+0.7x)limx→∞(0.1x+0.7x)
0
Answer:

Evaluate the limit of:

limx→3(x2x+6−−−−√)limx→3(x2x+6)
27
Answer:

Evaluate the limit of:

limx→3(3x−−√xx+1−−−−√)limx→3(3xxx+1)
0.5
Answer:

Evaluate the limit of:

limx→13x−1x+3−−−−√limx→13x−1x+3
1
Answer:

Is the given function continuous for values less than 1?

g(x)=x2−1x−1g(x)=x2−1x−1

Select one:
a. Yes, since the function will always be defined within the interval.
b. No, since the function can be graphed using analytical methods.
c. Yes, since the function can be graphed using a table of values only.

d. No, since there are some values in the interval where the function is
undefined.

Is the given piecewise function continuous at x = 1?

Select one:
a. Yes, since the piecewise function is defined at x = 1.
b. Yes, since the graphs of the sub-functions meet at x = 1.
c. No, since the piecewise function is undefined at x = 1.

d. No, since the graphs of the sub-functions will not meet at x = 1.

Evaluate the limit of:

limx→0sec x−1xlimx→0sec x−1x
The given angle is in radians.
0
Answer:
Compute for the derivative of the function below for x = 2.

y=e2x+1√2x+1−−−−−√y=e2x+12x+1
1.034426
Answer:
Compute for the derivative of the function below for x = 1.

y=(3x+44x−3)2−−−−−−√3y=(3x+44x−3)23
-8.71263
Answer:
Compute for the derivative of the given function for x = -2.

y=(3x4+2x2−5)3y=(3x4+2x2−5)3
-811512
Answer:
Find two non-negative numbers whose sum is 9 and so that the
product of one number and the square of the other number is a
maximum.

Select one:
a. 2 and 7
b. 3 and 6
c. 1 and 8

d. 4 and 5
Compute for the derivative of the given function for x = -4.

y=5xx2−3−−−−√y=5xx2−3
-0.32002
Answer:
Compute for the derivative of the function below for x = 1.
y=5x4+x−−√8−x−−√34y=5x4+x8−x34
-20.0208
Answer:
Find two numbers whose sum is 9 if the product of one by the
square of the other is a maximum.

Select one:
a. 3 and 6
b. 1 and 8
c. 2 and 7

d. 4 and 5
Compute for the derivative of the function below for x = 1.

y=5x−5+37x−14−12x3y=5x−5+37x−14−12x3
-67
Answer:
Compute for the derivative of the function below for x = 1 and z = 2.

y=5−2x+3zy=5−2x+3z
-2
Answer:
Compute for the derivative of the function below for x = 1.

y=(6x−5)8x−3−−−−−√y=(6x−5)8x−3
15.20526
Answer:
Compute for the derivative of the function below for x = 2.

y=2x−1x2+2x+1y=2x−1x2+2x+1
0
Answer:

Evaluate the limit of:

limx→2x−1x+2−−−√limx→2x−1x+2
0.5
Answer:

Is the given function continuous at x = 4?

f(x)=x2−4x−2f(x)=x2−4x−2
Select one:
a. Yes, since the value of the function at x = 4 is 6.
b. No, since the function is not defined at x = 4.
c. No, since the value of the function at x = 4 is 6.

d. Yes, since the function is defined at x = 4.

Is the given function continuous for all real numbers?

f(x)=2x2−xf(x)=2x2−x

Select one:

a. Yes, since the function can be graphed using analytical methods.

b. No, since the function cannot have some values in its domain.

c. Yes, since the function is always defined for any real number.

d. No, since the function can only be graphed using a table of values.
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Is the given function continuous at x = 2?

f(x)=x2−4x−2f(x)=x2−4x−2
Select one:

a. Yes, since the function is defined at x = 2.

b. No, since the function is undefined at x = 2.

c. Yes, since the function has a value of 4 at x = 2.

d. No, since the function has a value of 4 at x = 2.

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Question 8
Correct

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Is the given function continuous for all real numbers?

f(x)=x2+1−−−−−√f(x)=x2+1

Select one:
a. Yes, since analytical methods can be used to graph the function.

b. Yes, since the function will always be defined for any value of x.

c. No, since the function's graph can only be generated using a table of values.

d. No, since the function will be undefined for some values of x.

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Is the given piecewise function continuous for the defined

interval?

Select one:

a. No, since the graphs of the sub-functions will not meet at any point within the
interval.

b. Yes, since the piecewise function will be defined for any value within the
interval.

c. Yes, since the graphs of the sub-functions will meet at a point within the
defined interval.

d. No, since the piecewise function will be undefined for some values within the
interval.
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Question text

Evaluate the limit of:

limx→3(x2x+6−−−−√)limx→3(x2x+6)

27
Answer:
Finish review

Evaluate the limit of:

limx→3(x2x+6−−−−√)limx→3(x2x+6)
27
Answer:

Evaluate the limit of:

limx→4(2x+1)xlimx→4(2x+1)x

6561
Answer:

Evaluate the limit of:

(limx→2)5x2−−−√(limx→2)5x2
 25
Answer:
Evaluate the limit of:

limx→3(x2+7x−5)limx→3(x2+7x−5)
25
Answer:

Is the given function continuous for all real numbers?

f(x)=x3−6x2−x+30f(x)=x3−6x2−x+30

Select one:
a. No, since the graph of the function can only be generated using a table of
values.
b. Yes, since analytical methods can help generate the graph of the function.
c. Yes, since the function will always be defined for any value of x.

d. No, since there are some values of x where the function will be undefined.

Is the given function continuous at x = 1?

f(x)=x2−1x−1f(x)=x2−1x−1

Select one:
a. No, since the function is undefined at x = 1.
b. Yes, since the function has a value of 2 at x = 1.
c. No, since the function has a value of 2 at x = 1.

d. Yes, since the function is defined at x = 1.

Evaluate the limit of:

limr→18r+1r+3−−−−√limr→18r+1r+3
1.5
Answer:
Evaluate the limit of:

limx→24x−5limx→24x−5
3
Answer:

Evaluate the limit of:

limx→0cos xsin x−3limx→0cos xsin x−3

The given angle is in radians.
-0.33
Answer:

Evaluate the limit of:

limx→πsin(x+sin x)limx→πsin(x+sin x)

The given angle is in radians.

0
Answer:

Evaluate the limit of:

limx→2(5x+2x+4)limx→2(5x+2x+4)
33
Answer:

Evaluate the limit of:

limx→4(log23+log2x2)limx→4(log2⁡3+log2⁡x2)
5.6
Answer:

Is the given function continuous at x = 1?

f(x)=2x2−3x+1f(x)=2x2−3x+1
Select one:
a. Yes, since the value of the function at x = 1 is 4.
b. No, since the function is undefined at x = 1.
c. Yes, since the function is defined at x = 1.

d. No, since the value of the function at x = 1 is 4.

Is the given piecewise function continuous at x = 0?

Select one:
a. Yes, since the graphs of the sub-functions will meet at x = 0.
b. No, since the piecewise function is undefined at x = 0.
c. No, since the graphs of the sub-functions will not meet at x = 0.

d. Yes, since the piecewise function in defined at x = 0.

Is the given function continuous for x greater than or equal

to 1?

f(x)=x2x+6−−−−√f(x)=x2x+6
Select one:
a. Yes, since the function will always be defined for any value of x.
b. No, since the function can be graphed using a table of values only.
c. No, since the function will be undefined for some values of x.

d. Yes, since the function can be graphed using analytical methods.

Evaluate the limit of:

limx→∞(0.1x+0.7x)limx→∞(0.1x+0.7x)
0
Answer:

Evaluate the limit of:

limx→5log3x2+4−−−−−√3limx→5log3⁡x2+43
1.02
Answer:

Is the given function continuous at x = -3?

Select one:
a. Yes, since the piecewise function is defined at x = -3.
b. Yes, since the graphs of the sub-functions will meet at x = -3.
c. No, since the graphs of the sub-functions will not meet at x = -3.

d. No, since the piecewise function is undefined at x = -3.

Is the given piecewise function continuous at x = 1?

Select one:
a. No, since the piecewise function is undefined at x = 1.
b. No, since the graphs of the sub-functions will not meet at x = 1.
c. Yes, since the graphs of the sub-functions meet at x = 1.

d. Yes, since the piecewise function is defined at x = 1.

Evaluate the limit of:

limx→2log5(4x3+5)limx→2log5⁡(4x3+5)
2.2
Answer:

Evaluate the limit of:

limx→1(2x)x2limx→1(2x)x2
2
Answer:

Evaluate the limit of:

limx→12(x+2)(x2−3x+1)limx→12(x+2)(x2−3x+1)
-0.625
Answer:
Evaluate the limit of:

limx→2–√2x2−3x+6x2+2limx→22x2−3x+6x2+2
1.44
Answer:
Evaluate the limit of:

limx→2x2−6x+8x3−4limx→2x2−6x+8x3−4
0
Answer:
Evaluate the limit of:

limx→2(2x3+5x2−7)limx→2(2x3+5x2−7)
29
Answer:

Is the given piecewise function continuous for the defined

interval?
Select one:
a. Yes, since the piecewise function is defined for all values in the interval.
b. No, since the graphs of the sub-functions will not meet.
c. Yes, since the graphs of the sub-functions will meet at a common point.

d. No, since the piecewise function will be undefined for some values in the
interval.
Evaluate the limit of:

limx→2(x2−5x+1)limx→2(x2−5x+1)
-5
Answer:

Is the given function continuous for all real numbers?

g(x)=x2−1x−1g(x)=x2−1x−1
Select one:
a. Yes, since the function can be graphed using analytical methods.
b. No, since the function can be graphed using a table of values only.
c. Yes, since the function will always be defined for any value of x.

d. No, since the function will be undefined for some values of x.

Is the given function continuous for x greater than -3?

f(x)=(x2+2)x2+x+5−−−−−−−−√f(x)=(x2+2)x2+x+5

Select one:
a. Yes, since the function will always be defined for any value in the interval.
b. Yes, since the function can be graphed using analytical methods.
c. No, since the function will be undefined for some values in the interval.
d. No, since only a table of values can be used to grap
Evaluate the limit of:

limx→01+x−−−−√−1xlimx→01+x−1x
0.5
Answer:

Evaluate the limit of:

limx→−2x2+2x+8−−−−−−−−−√limx→−2x2+2x+8
2.82842
Answer:

Is the given function continuous at x = 4?

f(x)=1x−14x−4f(x)=1x−14x−4

Select one:
a. Yes, since the value of the function at x = 4 is -0.06.
b. No, since the function is undefined at x = 4.
c. No, since the value of the function at x = 4 is -0.06.

d. Yes, since the function is defined at x = 4.

Is the given function continuous at x = 5?

f(x)=x−−√−5–√x−5f(x)=x−5x−5

Select one:
a. No, since the value of the function at x = 5 is 0.22.
b. Yes, since the function is defined at x = 5.
c. No, since the function is undefined at x = 5.

d. Yes, since the value of the function at x = 5 is 0.22.

Evaluate the limit of:
limt→0sin23tt2limt→0sin23tt2

The given angle is in radians.

9
Answer:

Evaluate the limit of:

limx→1x2+1−−−−−√limx→1x2+1
1.41421
Answer:

Evaluate the limit of:

limx→13x−1x+3−−−−√limx→13x−1x+3
1
Answer:

Evaluate the limit of:

limx→2x2+2x−85x−10limx→2x2+2x−85x−10
1.2
Answer:
Compute for the derivative of the function below for x = 1.

y=73x2−4x+5y=73x2−4x+5
9344.26
Answer:
Compute for the derivative of the function below for x = 1.

y=65x3−5x4−13x3y=65x3−5x4−13x3
-3.85
Answer:
Compute for the derivative of the function below for x = 1.
y=5x4+x−−√8−x−−√34y=5x4+x8−x34
-20.02
Answer:
Compute for the derivative of the function below for x = 2.

y=(5)(4x2−7)(6x2−1)y=(5)(4x2−7)(6x2−1)
2920
Answer:
Compute for the derivative of the function below for x = 1.

y=3x14−13x+14x5−−√6y=3x14−13x+14x56
12.75
Answer:
Compute for the derivative of the function below for x = 1.

y=4xy=4x
4
Answer:
Compute for the derivative of the function below for x = 1.

y=(6x−5)8x−3−−−−−√y=(6x−5)8x−3
15.21
Answer:
Compute for the derivative of the function below for x = 2.

y=83x6+4x−5+5x−2y=83x6+4x−5+5x−2
19.56
Answer:
Compute for the derivative of the function below for x = 1 and z = 2.

y=5−2x+3zy=5−2x+3z
-2
Answer:
Is the given piecewise function continuous at x = 3?

Select one:
a. Yes, since the graphs of the sub-functions will meet at x = 3.
b. No, since the graphs of the sub-functions will not meet at x = 3.
c. No, since the piecewise function will be undefined at x = 3.

d. Yes, since the piecewise function will be defined at x = 3.

Evaluate the limit of:

limx→4x2−3x+42x2−x−1−−−−−−√3limx→4x2−3x+42x2−x−13
0.67
Answer:

Evaluate the limit of:

limx→1(2x)x2limx→1(2x)x2
2
Answer:

Evaluate the limit of:

(limx→2)5x2−−−√(limx→2)5x2

25
Answer:

Evaluate the limit of:

limx→5log3x2+4−−−−−√3limx→5log3⁡x2+43
1.02
Answer:
given point?
y=x2−1;at(2,3)y=x2−1;at(2,3)
4 -5
Answer:
Evaluate the limit of:

limx→2(x2−5x+1)limx→2(x2−5x+1)
-5
Answer:

Is the given function continuous for all real numbers?

f(x)=x3−6x2−x+30f(x)=x3−6x2−x+30

Select one:
a. Yes, since the function will always be defined for any value of x.
b. No, since the graph of the function can only be generated using a table of
values.
c. Yes, since analytical methods can help generate the graph of the function.

d. No, since there are some values of x where the function will be undefined.

Evaluate the limit of:

limx→3(x2x+6−−−−√)limx→3(x2x+6)
27
Answer:

Is the given piecewise function continuous for the defined

interval?
Select one:
a. Yes, since the piecewise function will be defined for any value within the
interval.
b. Yes, since the graphs of the sub-functions will meet at a point within the
defined interval.
c. No, since the graphs of the sub-functions will not meet at any point within the
interval.

d. No, since the piecewise function will be undefined for some values within the
interval.

Evaluate the limit of:

limx→1(2x)x2limx→1(2x)x2
2
Answer:

Evaluate the limit of:

limx→1x2+1−−−−−√limx→1x2+1
1.41
Answer:

Find the general equation of the line tangent to the

equation below at the given point.
What is the coefficient of x in the equation of the tangent
line?
y=x3−6x2+8x;at(3,−3)y=x3−6x2+8x;at(3,−3)
-1
Answer:

What is the value of the derivative for the given value of x?

y=x3−3x2+5x−2;x=7y=x3−3x2+5x−2;x=7
 110
Answer:
Compute for the derivative of the function below for x = 1.

y=(6x−5)8x−3−−−−−√y=(6x−5)8x−3
15.20
Answer:
Compute for the derivative of the function below for x = 1.

y=(3x)(4x2−5x+1)3y=(3x)(4x2−5x+1)3
0
Answer:
Compute for the derivative of the function below for x = 1.

y=34x4−3x5−2x63y=34x4−3x5−2x63
-16
Answer:
Compute for the derivative of the function below for x = 1.

y=4xy=4x
4
Answer:
Compute for the derivative of the function below for x = 2.

y=3x2+5x−8−−−−−−−−−−√y=3x2+5x−8
2.27
Answer:
Compute for the derivative of the function below for x = 1. Use 3.14
for the value of pi.

y=2–√x+3π−12y=2x+3π−12
1.41
Answer:
Compute for the derivative of the function below for x = 1.

y=34x2−−√5−6x−−√+x−13y=34x25−6x+x−13
 3
Answer:
Compute for the derivative of the function below for x = 2.

y=x−−√+55x−−√y=x+55x
4.30
Answer:
Compute for the derivative of the function below for x = 1 and z = 2.

y=5−2x+3zy=5−2x+3z
-2
Answer:
Compute for the derivative of the function below for x = 2.

y=(5)(4x2−7)(6x2−1)y=(5)(4x2−7)(6x2−1)
2920
Answer:

Compute for the derivative of the function below for x = 2.

y=83x6+4x−5+5x−2y=83x6+4x−5+5x−2
19.56
Answer:
Compute for the derivative of the function below for x = 1.

y=3x14−13x+14x5−−√6y=3x14−13x+14x56
12.75
Answer:
Compute for the derivative of the function below for x = 1.

y=73x2−4x+5y=73x2−4x+5
9344.261
Answer:
Compute for the derivative of the function below for x = 1.

y=5x15−x−27+x4−−√5y=5x15−x−27+x45
 2.085714
Answer:
Compute for the derivative of the function below for x = 1.

y=x6+12x+8x3−−√4y=x6+12x+8x34
11.5
Answer:
Compute for the derivative of the function below for x = 1. Use 3.14
for the value of pi.

y=x3+5x2−4πy=x3+5x2−4π
13
Answer:
Compute for the second derivative of the given function for x = -5.
The given angle is in radians.

g(x)=2sinxcosxcosxsinxg(x)=2sinxcosxcosxsinx
3.36
Answer:
Compute for the derivative of the given function for x = -4.

y=x2+4−−−−√8xy=x2+48x
-0.00699
Answer:
Compute for the third derivative of the given function for x = -5.

y=4x5+6x3+2x+1y=4x5+6x3+2x+1
6036
Answer:
Compute for the derivative of the given function for x = -2. The
angle is in radians.

y=(4)(2+cosx)(5−sinx)y=(4)(2+cosx)(5−sinx)
24.13
Answer:
Compute for the derivative of the function below for x = 2.
g(x)=3x2−3x+1−−−−−−−−√g(x)=3x2−3x+1
0.14344
Answer:
Compute for the derivative of the given function for x = -2. The
angle is in radians.

y=tan(x2−3x)y=tan(x2−3x)
-9.94260
Answer:
Compute for the derivative of the given function for x = -2. The
angle is in radians.

y=sinx−cosxsinx+cosxy=sinx−cosxsinx+cosx
1.138432
Answer:
Compute for the derivative of the function below for x = 2.

y=(2x−34)(12−x2)y=(2x−34)(12−x2)
2.375
Answer:
Compute for the derivative of the function below for x = 1.

y=65x3−5x4−13x3y=65x3−5x4−13x3
-3.85
Answer:
Compute for the derivative of the function below for x = 2.

y=x2+52x−3y=x2+52x−3
-14
Answer:
Compute for the derivative of the function below for x = 1.

y=34x4−3x5−2x63y=34x4−3x5−2x63
-16
Answer:
Find two positive numbers whose product is 64 and whose sum is a
minimum.

Select one:
a. 8 and 8
b. 4 and 16
c. 2 and 32

d. 1 and 64
Compute for the derivative of the given function for x = -2. The
angle is in radians.

y=secx1+tanxy=secx1+tanx
-0.28071
Answer:

What is the slope of the tangent line at the given point?

y=x2;at(2,4)y=x2;at(2,4)
4
Answer:

Is the given function continuous for x greater than -2?

f(x)=x2−1x−1f(x)=x2−1x−1

Select one:
a. No, since the function can be graphed using analytical methods.
b. Yes, since the function can be graphed using a table of values only.
c. Yes, since the function will always be defined for x greater than -2.

d. No, since the function is undefined for some values of x that are greater than
-2.

What is the slope of the tangent line at the given point?

y=x2−6x+9;at(3,0)y=x2−6x+9;at(3,0)
 0
Answer:

What is the slope of the tangent line at the given point?

y=x3+3;at(1,4)y=x3+3;at(1,4)

3
Answer:

to the equation below at the given point.

What is the value of the constant in the equation of the
tangent line?
y=x3−6x2+8x;at(3,−3)y=x3−6x2+8x;at(3,−3)
0
Answer:

What is the slope of the tangent line at the given point?

y=2x2+4x;at(−2,0)y=2x2+4x;at(−2,0)
-4
Answer:

Find the general equation of the line tangent to the

equation below at the given point.
What is the coefficient of y in the equation of the tangent
line?
y=2x−2;at(1,2)y=2x−2;at(1,2)

1
Answer:
What is the slope of the tangent line at the given point?
y=x2−1;at(2,3)y=x2−1;at(2,3)
4
Answer:

Evaluate the limit of:

limx→4x3−64x2−16limx→4x3−64x2−16
6
Answer:
Evaluate the limit of:

limx→2x2−1x−1limx→2x2−1x−1
3
Answer:

What is the slope of the tangent line at the given point?

y=x2+4;at(−1,5)y=x2+4;at(−1,5)

-2
Answer:

Evaluate the limit of:

limx→3(3x−−√xx+1−−−−√)limx→3(3xxx+1)
0.5
Answer:
numbers?

f(x)=(x−5)3(x2+4)5f(x)=(x−5)3(x2+4)5
Select one:
a. The function is continuous for all real numbers since it can yield both positive
and negative values.
b. The function is continuous for all real numbers since it involves a cubic
function.
c. The function is continuous for all real numbers since it will always be defined
for any value 6of x.

d. The functions is not continuous since there are restrictions for its domain
values.

Evaluate the limit of:

limx→0sin xx−−√limx→0sin xx

The given angle is in radians.

0
Answer:

Is the given piecewise function continuous for the defined

interval?

Select one:
a. No, since the piecewise function will be undefined for some values in the
interval.
b. No, since the graphs of the sub-functions will not meet.
c. Yes, since the graphs of the sub-functions will meet at a common point.

d. Yes, since the piecewise function is defined for all values in the interval.

What is the value of the derivative for the given value of t?

f(t)=(t3−2t+1)(2t2+3t);t=−3f(t)=(t3−2t+1)(2t2+3t);t=−3
405
Answer:
Find the general equation of the line tangent to the
equation below at the given point.
What is the value of the constant in the equation of the
tangent line?
y=x2;at(2,4)y=x2;at(2,4)
-4
Answer:
Evaluate the limit of:

limx→2–√2x2−3x+6x2+2limx→22x2−3x+6x2+2
1.44
Answer:

Is the given piecewise function continuous at x = 1?

Select one:
a. No, since the graphs of the sub-functions will not meet at x = 1.
b. No, since the piecewise function is undefined at x = 1.
c. Yes, since the graphs of the sub-functions meet at x = 1.

d. Yes, since the piecewise function is defined at x = 1.

Find the general equation of the line tangent to the

equation below at the given point.
What is the coefficient of x in the equation of the tangent
line?
y=x3+2x;atx=0y=x3+2x;atx=0
 2
Answer:

Evaluate the limit of:

limx→3(x2x+6−−−−√)limx→3(x2x+6)
27
Answer:

What is the value of the derivative for the given value of t?

f(t)=(2t−5)(3t+4);whent=12f(t)=(2t−5)(3t+4);whent=12
-1
Answer:

What is the value of the derivative for the given value of x?

y=4x5+x2;whenx=10y=4x5+x2;whenx=10
200020
Answer:
Evaluate the limit of:

limx→−1x3+1x+1limx→−1x3+1x+1
3
Answer: