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Let f(x)=int2^x (dt)/sqrt(1+t^4) and g ...

Let `f(x)=int_2^x (dt)/sqrt(1+t^4) and g` be the inverse of `f`. Then, the value of `g'(0)` is

A

`1`

B

`17`

C

`sqrt(17)`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
C
`g(f(x))=x`
`impliesg^(')(f(x))=1/(f^(')(x))`
`impliesg^(')(0)=1/(f^(')(2))=1/(1/(sqrt(17)))=sqrt(17)`
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