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

D

`e ^(Sin^(-1))x `

Text Solution

Verified by Experts

The correct Answer is:
B
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