" 31) "tan^(-1)((5x+1)/(3-x-6x^(2)))

y= tan^(-1)((5x+1)/(3-x-6x^(2))) find dy/dx

tan^-1((5x)/(1-6x^2))

tan^-1((5x)/(1-6x^2))

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)).

y= tan^(-1)((5-x)/(6x^(2)-5x-3)) find dy/dx

Differentiate tan^(-1){(5x)/(1-6x^(2))}-(1)/(sqrt(6))

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 the sum of each of the following series: (i) tan^(-1)((1)/(x^(2)+x+1))+tan^(-1)((1)/(x^(2)+3x+3))+tan^(-1)((1)/(x^(2)+5X+7))+tan^(-1)((1)/(x^(2))+7x+13))...... upto n.