`tan^(-1)x` w.r.t.`tan^(-1)sqrt(1+x^(2))`

Differentiate tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|<(1)/(sqrt(3)) w.r.t tan ^(-1)((x)/(sqrt(1-x^(2))))

Differentiate tan^(-1)((sqrt(1+x^(2))+1)/(x))" w.r.t. "tan^(-1)((2xsqrt(1-x^(2)))/(1-2x^(2))) at x = 0.

Differentiate w.r.t. as indicated : tan^(-1)((3x-x^(3))/(1-3x^(2)))" w.r.t. "tan^(-1)((x)/(sqrt(1-x^(2))))

Derivative of tan ^(-1) ((sqrt( 1+x^(2))-1)/( x)) w.r.t. tan ^(-1) ((2x sqrt(1-x^(2)))/( 1-2x ^(2))) is

Differentiate each of the following w.r.t. x: (i) tan^(-1)(sqrt(1+x^(2))+x)" "(ii)tan^(-1)(sqrt(1+x^(2))-x)

cos^(-1)(sinx)w.r.t. tan^(-1)x

Differentiate sin^(-1)x w.r.t. tan^(-1)x .

Differentiate the following w.r.t. x : tan^(-1)((sqrt(1+a^(2)x^(2))-1)/(ax))

Differentiate w.r.t. as indicated : tan^(-1)(x/(sqrt(1-x^(2))))" w.r.t. "sin^(-1)(2xsqrt(1-x^(2))) .