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Let f(x) =sinx,g(x)=x^(2)andh(x)=log(e)x...

Let `f(x) =sinx,g(x)=x^(2)andh(x)=log_(e)x`. If `F(x)=(hogof)(x)`, then F''(x) is equal to a)`acosec^(3)x` b)`2cotx^(2)-4x^(2)cosec^(2)x^(2)` c)`2xcotx^(2)` d)`-2cosec^(2)x`

A

`acosec^(3)x`

B

`2cotx^(2)-4x^(2)cosec^(2)x^(2)`

C

`2xcotx^(2)`

D

`-cosec^(2)x`

Text Solution

Verified by Experts

The correct Answer is:
D
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