[" Difterentiate each of the following w."gamma" th: "],[sec^(-1)((1+tan^(2)x)/(1-tan^(2)x))]

sec^-1((1+tan ^2x)/(1-tan ^2 x))

sec^-1((1+tan ^2x)/(1-tan ^2 x))

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)

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

Differentiate the following function w.r.t x sec(tan(x^(1/2)))

Integrate the following w.r.t. x . (sec^(2)x)/(tan^(2)x-1)

Differentiate the following w.r.t. x: tan^(-1) (frac {1- tan (x/2)} {1+ tan (x/2)})

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