differentiate each of the following w.r.t `sin^(- 1){sqrt((1-cosx)/2)}`

Differentiate each of the following w.r.t. x: (i) tan^(-1)((1-cosx)/(sinx))" "(ii)tan^(-1)((cos x -sinx)/(cosx +sinx))

Differentiate each of the following w.r.t. x. e^(sqrt(cotx))

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)sqrt((1-cosx)/(1+cosx))

Differentiate the following w.r.t. x : cos^-1 sqrt((1-cosx^2)/2)

Differentiate the following w.r.t. x: x^(sin^-1)

Differentiate the following w.r.t. x: e^cosx

Differentiate the following w.r.t x: sin^(-1) (2x sqrt (1- x^2 ) )

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