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`

If =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'(0) .

If y = tan^(-1)(1/(1+x+x^2)) + tan^(-1)(1/(x^2+3x+3)) + tan^(-1)(1/(x^2+5x+7))+ …….. Up to n terms then find y'(0).

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 term then y^1(0) =

tan^(- 1) (1/(x+y)) +tan^(- 1) (y/(x^2+x y+1)) =cot^(- 1)x

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

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

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