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

Find (dy)/(dx) if y = tan^(-1)(x^(2)) .

Find (dy)/(dx) if (tan^(-1)x)^(2) .

If y=tan^(-1)((2x)/(1-x^2))" find "(dy)/(dx) .

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

Find (dy)/(dx) in the following : y = tan^(-1)((3x-x^(3))/(1-3x^(2))), -(1)/(sqrt(3)) lt x lt (1)/(sqrt(3)) .

The number of integral values of x satisfying the equation tan^(-1) (3x) + tan^(-1) (5x) = tan^(-1) (7x) + tan^(-1) (2x) is ____

Prove that tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2)))absxlt(1)/(sqrt(3)).

If y=btan^(-1)(x/a+tan^(-1)y/x) ,find (dy)/(dx)dot

Solve : tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/(4)