Rationalised 2023-24
 MATHEMATICS
130
(iii)
Let y = cos–1 (ex) Using chain rule, we have
dy
dx  =
2
2
1
(
)
1
(
)
1
x
x
x
x
d
e
dxe
e
e
−
−
⋅
=
−
−
(iv)
Let y = ecos x Using chain rule, we have
dy
dx  =
cos
cos
( sin )
(sin )
x
x
e
x
x e
⋅ −
= −
EXERCISE 5 4
Differentiate the following w