[" Differentiate each of the following "w],[" 1."sin^(-1){sqrt((1-cos x)/(2))}]

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

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 - cos x)/(1 + cos x))

Differentiate each of the following from first principle: (1)/(sqrt(x))