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Which of the following functions has/hav...

Which of the following functions has/have their derivatives as `(2)/(1+x^(2))` in the specified interval?

A

`f(x)=sin^(-1)((1-x^(2))/(1+x^(2))),-1ltxlt0`

B

`g(x)=cos^(-1)((1-x^(2))/(1+x^(2))),1ltxltoo`

C

`h(x)=sin^(-1)((2x)/(1-x^(2))),-ooltxlt-1`

D

`K(x)=tan^(-1)((2x)/(1-x^(2))),1ltxltoo`

Text Solution

Verified by Experts

The correct Answer is:
A, D
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