If `y=tan^(-1)1/(1+x+x^2)+tan^(-1)1/(x^2+3x+3)+tan^(-1)1/(x^2+5x+7)++` upto `n` terms, then find the value of `y^(prime)(0)dot`

Find x if tan^(-1)(x) = tan^(-1)(1/2) + tan^(-1)(3/7)

If tan^(-1)(2x)+tan^(-1)(3x)=(pi)/(4) , then find the value of x.

If y=tan^(-1).(1)/(1+x+x^(2))+tan^(-1).(1)/(x^(2)+3x+3) upto +tan^(-1).(1)/(x^(2)+5x+7)+….+2n terms (AA x ge0), then y(0) is

If y=tan^(-1)((1)/(x^(2)+x+1))+tan^(-1)((1)/(x^(2)+3x+3))+tan^(-1)((1)/(x^(2)+5x+7))+ to nterms,show that (dy)/(dx)=(1)/((x+n)^(2)+1)-(1)/(x^(2)+1)

Prove that tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)((2x)/(2-x^2))