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Let g(x) be the inverse of f(x) and f'(x...

Let g(x) be the inverse of f(x) and `f'(x)=(1)/(1+x^(5))` then `(d^(2))/(dx^(2))(g(x))` is equal to

A

`(1)/(1+(g(x))^(5))`

B

`5(g(x))^(4)"("1+(g(x))^(5)`

C

`(g'(x))/(1+(g(x))^(5))`

D

`(5(g'(x))^(4))/(1+(g(x))^(5))`

Text Solution

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The correct Answer is:
B
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