Express: `cot^-1 (y/((1-x^2-y^2))=2tan^-1 sqrt((3-4x^2)/(4x^2))- tan^-1 sqrt (3-4x^2)/x^2` as a rational integral equation in x and y.

Express: cot^-1 (y/(sqrt(1-x^2-y^2)))=2tan^-1 sqrt((3-4x^2)/(4x^2))- tan^-1 sqrt ((3-4x^2)/x^2) as a rational integral equation in x and y.

If f(x)=tan^(-1)sqrt(x^(2)+4x) +sin^(-1)sqrt(x^(2)+4x+1)

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

If x ^(2)y^(2) =tan ^(-1) sqrt(x^(2) +y^(2) )+cot ^(-1) sqrt(x^(2) +y^(2)),then (dy)/(dx)=

Find (dy)/(dx) if y=tan^(-1)(4x)/(1+5x^(2))+tan^(-1)(2+3x)/(3-2x)

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^(2)))+tan^(-1)((2+3x)/(3-2x))

y=tan^(-1)""(3x-x^(3))/(2x^(2)-1),-(1)/(sqrt(3))ltxlt(1)/(sqrt(3))

If y=tan^(-1)((sqrt(x)-x)/(1+x^((3)/(2)))), then y'(1) is:

If y=tan^(-1)sqrt(x^(2)+1)+cot^(-1)sqrt(x^(2)+1)" then "(dy)/(dx)=