DR Travhtatoy: Epuc+Ly
DR Travhtatoy: Epuc+Ly
DR Travhtatoy: Epuc+Ly
EpuC+Ly
i
I
J- x-1
x+ l
{6)- -
x +]
-------\\ --------
2 2
X t = I
+.3)
[
.I-l
\�=Pl f G r--:,
) =J1-X w» f~67[I-X
r;--:;
.
I.
x =
�
=
X ±(] = 4t
dx
dg
d
z -
><i {[ 4! • 0
X
-dy
dx + 9 = O
d = - 9
dx X
d z -
dx
° Ii
3
2x - 3x9-
2
+ 2
= S
4['-4[8]-
dx dx
[4«'l
dx '
-}[sl
6x
2
- 3 dy + gC-6) - (»$)+ 2
9CG-+) = O
z«
d
G 2 - 3a
zs t s
1
x -
- z.
t
9
+
.G-+»
dx
- G 8.-
dx
g' = O
dy > ±
d = - ox + x tg
-3-gx
3. Gwan he implicit ncon xe'+gs.s FA ]' +amt or »
xe'+g lox s
'4, ·(a)- - (
J"x
9
-
K
ce',% ) ,
dy
= - € -
3 y
-x
- -e"-g
x Ce+ )
#
4. 5,° 2
9 + 9in
�
z x
dx
d
's] ±[so 9]
t dx - dx±11
st0'l 4 <as g)
d
z 2¥
·«» 2) -t ( cos 9)
dx
= 2¥
o #a4 +(cos 9) #
dx
; 2¥
cos 9) 48 = 2
(9 4 dx
2x
dy =
dx log + cos J
-.;.== 8
5. Tod the slopes of hhe tangent lines 1 the curve
2
9 - x +
41.]
1%
n4'$'
ta
- I z 0
4 z
I
dx 29
tie stpes oR ke tangent ne
to he curve at thof pot ar«
cm.d
Hie DepNAiv.
----11----
4y
Scavo f ,::, -!)
d
8- g. 18
±el-419·4tel
e»- •() • e
2x
�
dx - 9
a
4'y
dx = Gs)) - ()y(
a.
s'
8ubg#tu#e Ca) into Cl)
-
y= 5 t O
2¥
€ + cos x
, 4¢)•
dx
.4
'
4� ± d e
dx 4 t 2 � = 0
d dx
dy
5g +
r' '
dx = O
[ sew]
#
Ms
$in x
(i)
dy.-(so )cos
dx
• dg
- 9Cg9in +) - 2 co» x L I
Ci)-+ 2y
z 9 +