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If f (x) = e ^(x) , g (x) = Sin ^(-1) x ...

If `f (x) = e ^(x) , g (x) = Sin ^(-1) x and h (x) =f (g (x)),` then `(h'(x))/(h (x))=`

A

`sin^(-1)x`

B

`(1)/(sqrt(1-x^(2)))`

C

`-(1)/(sqrt(1-x^(2)))`

D

`sin^(sin^(-1))x`

Text Solution

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The correct Answer is:
B
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