Home
Class 12
MATHS
If y=sin^(-1)((2x)/(1+x^2))+sec^(-1)((1+...

If `y=sin^(-1)((2x)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)),-1 < x < 1,`
Prove that `(dy)/(dx)=4/(1+x^2)`

A

`4/(1+x^(2))`

B

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

C

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

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If y=sin^(-1)((1-x^2)/(1+x^2)) , then (dy)/(dx)=

If y=e^(x^(2)/(1+x^(2))) , then (dy)/(dx)=

If y="cosec"^(-1)((x^(2)+1)/(x^(2)-1))+cos^(-1) ((x^(2)-1)/(x^(2)+1)),"then " (dy)/(dx)=

If y=log((1-x^(2))/(1+x^(2)))," then "(dy)/(dx)=

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to sin^(-1)((2x)/(1+x^2)) , if x in (1,\ oo)

I fy=sec^(- 1)((x+1)/(x-1))+sin^(- 1)((x-1)/(x+1)),t h e n(dy)/(dx)

If x=ysqrt(1-y^(2)) , then (dy)/(dx)=