Home
Class 12
MATHS
If y=cos^-1((2x)/(1+x^2)),-1ltxlt1, Fi...

If `y=cos^-1((2x)/(1+x^2)),-1ltxlt1,
`Find `(dy)/(dx)`

Text Solution

Verified by Experts

`y=cos^-1((2x)/(1+x^2))=pi/2-sin^-1((2x)/(1+x^2))=pi/2-2tan^-1xtherefore(dy)/(dx)=0-2/(1+x^2)=(-2)/(1+x^2)cos^-1x=pi/2-sin^-1x`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|47 Videos

  • DETERMINANTS

    A N EXCEL PUBLICATION|Exercise QUESTION TYPE|83 Videos

Similar Questions

Explore conceptually related problems

If y = tan^(-1) ((2x-1)/(1+ x- x^2) ) , then (dy)/(dx) at x = 1 is equal to a) 1/2 b) 2/3 c) 1 d) 3/2

If y=cos^-1[(1-x^2)/(1+x^2)] Find dy/dx .

Consider y=tan^-1((sqrt(1+x^2)-1)/x) . Find dy/dx .

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

If y = sin^(2) cot^(-1) sqrt((1+x)/(1-x)) , then (dy)/(dx) is equal to a)2 sin 2x b)sin 2x c) (1)/(2) d) -(1)/(2)

If y=sin^-1x ,Find dy/dx

If y=sin^-1((sqrt(1+x)+sqrt(1-x))/2) Find dy/dx .

Find (dy)/(dx) if x^y+y^x=1