Home
Class 11
MATHS
If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/...

If `y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s` (a)`(-2)/(1+x^2)` for all `x` (b) `(-2)/(1+x^2)` for all `|x|<1` (c)`2/(1+x^2)` for `|x|>1` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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

If y = cos^(-1) ((2x)/(1 + x^(2))), - 1 lt x lt 1 " then " (dy)/(dx) is equal to

y=x^(x cos x)+(x^(2)+1)/(x^(2)-1), find (dy)/(dx)

If y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2), 0

If y= e ^(mcos ^(-1)x) ,then (1-x^(2) ) (d^(2)y)/(dx^(2)) -x(dy)/(dx)=

If y=cos (mcos ^(-1) x ),then (1-x^(2)) (d^(2)y)/(dx^(2) )-x( dy)/(dx)=

If y=tan^(-1)sqrt((x+1)/(x-1)), then (dy)/(dx) is (-1)/(2|x|sqrt(x^(2)-1)) (b) (-1)/(2x sqrt(x^(2)-1))(1)/(2x sqrt(x^(2)-1))( d) none of these

(xe^x)/(1+x)^2dx= (A) e^x/(1+x) (B) e^x/(1+x)^2 (C) e^xlog(1+x) (D) none of these

y=(1)/(2)log((1-cos2x)/(1+cos2x)), prove that (dy)/(dx)=2csc2x