" (w) "(x)/(sqrt(1-x^(2)))

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

Find the differential coefficient of (tan^(-1))(x)/(sqrt((1-x^(2))))w*r.t*cos^(-1)(2x^(2)-1)

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

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

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

[" (v) Differentiate "log[(sqrt(1+x^(2))+x)/(sqrt(1+x^(2))-x)]" w.r.t."],[cos(log x)]

The derivative of Tan ^(-1)"" (sqrt(1 + x ^(2))-1)/(x) w.r.t. Tan ^(-1) "" (2x sqrt(1-x ^(2)))/(1 - 2 x ^(2))at x =0 is