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let f(x)=e^x ,g(x)=sin^(- 1) x and h(x)=...

let `f(x)=e^x ,g(x)=sin^(- 1) x `and `h(x)=f(g(x))` t h e n f i n d `(h^(prime)(x))/(h(x))`

A

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

B

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

C

`sin^(-1)x`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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