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

Promotional Banner

Similar Questions

Explore conceptually related problems

If |cos^(-1)((1-x^2)/(1+x^2))|

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

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

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

If y=tan^(-1)sqrt((x+1)/(x-1)),t h e n(dy)/(dx)i s (-1)/(2|x|sqrt(x^2-1)) (b) (-1)/(2xsqrt(x^2-1)) 1/(2xsqrt(x^2-1)) (d) none of these

If y=tan^(-1)((2^x)/(1+2^(2x+1))),t h e n(dy)/(dx)a tx=0 is (a)1 (b) 2 (c) 1n 2 (d) none of these

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

If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga ,t h e n(dy)/(dx) is equal to x/y (b) y/(x^2) (x^2-y^2)/(x^2+y^2) (d) y/x

If y=(1+x)(1+x^2)(1+x^4)......(1+x^(2n)), then find (dy)/(dx)a tx=0.

If a x^2+2h x y+b y^2=1,t h e n(d^2y)/(dx^2) is (a) (h^2-a b)/((h x+b y)^2) (b) (a b-h^2)/((h x+b y)^2) (h^2+a b)/((h x+b y)^2) (d) none of these