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Byju's Answer
Standard XI
Mathematics
Algebra of Derivatives
Letfx=ex, g=s...
Question
Let
f
(
x
)
=
e
x
,
g
=
s
i
n
−
1
x
a
n
d
h
(
x
)
=
f
(
g
(
x
)
)
,
t
h
e
n
h
′
(
x
)
h
(
x
)
A
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B
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C
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D
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Solution
The correct option is
B
h
(
x
)
=
e
s
i
n
−
1
x
⇒
h
1
(
x
)
=
h
(
x
)
1
√
1
−
x
2