" Q6"y=tan((x)/(1+6x^(2))

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

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

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

tan^(-1)((6x)/(1+16x^(2)))

Fin d (dy)/(dx) ify =tan^(-1)((6x)/(1-5x^(2))) dy,1 Find if y=tan1-5x2

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

(d)/(dx)[tan^(-1)((6x)/(1+7x^(2)))]+(d)/(dx)[tan^(-1)((5+2x)/(2-5x))]=

(d)/(dx)[tan^(-1)((10x)/(4-6x^(2)))]=

Prove that : 1/6tan^(-1)""(2x)/(1-x^2)+1/9tan^(-1)""(3x-x^2)/(1-3x^2)+1/12 tan^(-1)""(4x-4x^3)/((1-6x^2+x^4))= tan^(-1)x