tan^(-1)[(2^(x+1))/(1-4^(x))

If y = tan ^(-1) ((2x )/( 1 -x ^(2))) + tan ^(-1) ((3x - x ^(3))/( 1 - 3x ^(2)))- tan ^(-1) ((4x - 4x ^(3))/( 1 - 6x + x ^(4))), then show that (dy)/(dx) = (1)/(1 + x ^(2)).

Find the values of each of the following : tan^(-1)2x+tan^(-1)(1/(x+4))=pi/2 then find x.

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

The value of int_(-4)^(4) [ tan^(-1)((x^(2))/( x^(4)+1)) +tan^(-1) ((x^(4)+1)/( x^(2))) ] dx is

Differentiate tan^(-1)((1+2x)/(1-2x))wdotrdottsqrt(1+4x^2) and tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)(x)

All the values of x satisfying the equation 2 tan^ (-1) 2x = sin ^(-1)""((4x )/(1+ 4 x ^(2))) lie in the interval

Arithmetic mean of the non-zero solutions of the equation tan^(-1)((1)/(2x+1))+tan^(-1)((1)/(4x+1))=tan^(-1)((2)/(x^(2)))

The number of positive solution satisfying the equation tan^(-1)((1)/(2x+1))+tan^(-1)((1)/(4x+1))=tan^(-1)(2/(x^2)) is