Home
Class 12
MATHS
If y = tan^(-1)((sqrt(1 + x^2)-1)/(x)), ...

If `y = tan^(-1)((sqrt(1 + x^2)-1)/(x))`, prove that `(dx)/(dy) = 1/(2(1 + x^2))`

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=tan^(-1)((1+sin x)/(cos x))" shoe that "(dy)/(dx)= (1)/(2) .

If sqrt(1 -x^2) + sqrt(1 - y^2) = a(x - y) prove that (dy)/(dx) = (sqrt(1 - y^2))/(sqrt(1-x^2)) .

If y = tan^(-1) sqrt((1-cos x)/(1+cosx)) , then (d^(2)y)/(dx^(2)) = =

If xsqrt(1 + y) + ysqrt(1 + x) = 0 x != y prove that (dy)/(dx) = (-1)/((1 + x)^(2))

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

If y=tan^(-1)sqrt(x^(2)-1) , then the ratio (d^(2)y)/(dx^(2)):(dy)/(dx)=

If y= tan^(-1) sqrt(x^(2)-1) then the ratio (d^(2)y)/(dx^(2)) : (dy)/(dx)=