Math-1 - Exercises - Mid - Fall 23-24
Math-1 - Exercises - Mid - Fall 23-24
Math-1 - Exercises - Mid - Fall 23-24
Example P-199 # 1, 2, 3, 7, 8
Implicit Differentiation P-215 # 5-14
Example P-208 # 1(a)
Parametric differentiation P-649 𝑑𝑦
P-655 (only 𝑑𝑥 )
# 11-16
Logarithmic Differentiation P- P-223 # 41-50
220 Example # 7, 8
Derivative of inverse P-213
Trigonometric function P-213 #5 arcsin 𝑥, arccos 𝑥, arctan 𝑥,
arcsec 𝑥
Derivative of hyperbolic function P-264 # 30-35
(P-261)
Application of Application of Differentiation (P- P-148, 149 # 13, 15 2 Quiz2
Differentiation 143) #3 (only equations of tangent
Equations of Tangent and and normal)
Normal P-209 P-180 # 33-35, 37, 38
Example #1, 2 P-215 # 27, 28
P-267 # 60, 61
p-268 # 87, 90
P-655 # 3-6
Taylor and Maclaurin series P- P-771 # 5-10
760 # 1, 3, 5, 6 (first three 11-18
nonzero terms)
Analysis of Stationary points P-280 P-301 # 9, 10, 11, 13, 17 2
function Increasing, decreasing function P-302 # 37-40
P-293 # 1, 3
Concave up, down P-296
Inflection point P-297
Local maximum, minimum,
second derivative test -P-297
Sketch a graph of a function
Optimization P-331 # 1, 2, 5,6(revenue) P-337 # 14-16,45, 63 Quiz3
Problem
Indeterminate Indeterminate form of type P-311-312 # 13-24 2
forms and 0 ∞ 26-30
P-306 ( , ) # 1-4
0 ∞
𝑳’𝑯𝒐̂𝒑𝒊𝒕𝒂𝒍 rule 51-55
(0 ∙ ∞) # 6,
Polar 57-65
(∞ − ∞) #7,
coordinates P-666 # 1-6
(00 , ∞0 , 1∞ ) #9, 10
P-658 #1