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EAMCET Engineering 2002 Solved Paper
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© examsnet.com
Question : 141
Total: 200
Let
f
(
x
)
=
e
x
,
g
(
x
)
=
s
i
n
−
1
x
and
h
(
x
)
=
f
(
g
(
x
)
)
, then
h
′
(
x
)
h
(
x
)
is equal to
s
i
n
−
1
x
1
√
1
−
x
2
−
1
√
1
−
x
2
e
s
i
n
−
1
x
Validate
Solution:
We have,
h
(
x
)
=
f
(
g
(
x
)
)
=
f
(
s
i
n
−
1
x
)
h
(
x
)
=
e
s
i
n
−
1
x
log
h
(
x
)
=
s
i
n
−
1
x
On differentiating w.r.t.
x
, we get
h
′
(
x
)
h
(
x
)
=
1
√
1
−
x
2
© examsnet.com
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