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

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

A

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

B

`2/(1 + x^2)`

C

`1/(2 + x^2)`

D

`2/(2 - x^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If y=tan^(-1) ((1+x)/(1-x)) then (dy)/(dx)=

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

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

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

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

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

If y = sin[cos^(-1){sin(cos^(-1) x)}], "then" (dy)/(dx)" at x" = (1)/(2)

If y= tan^(-1) (frac{x}{1+ sqrt (1 - x^2)}) + sin[ 2tan^(-1) (sqrt ((1-x)/(1+x)))] , then dy/dx= ............