[sin^(-1){(sqrt(1+x)+sqrt(1-x))/(2)},0a]

Differentiate the following function with respect to x:sin^(-1){(sqrt(1+x)+sqrt(1-x))/(2)},0

Differentiate sin^(-1){(sqrt(1+x)+sqrt(1-x))/2},\ \ 0

Express "sin"^(-1)[(sqrt(1+x)+sqrt(1-x))/(2)],0ltxlt1 in the simplest form.

Differentiate the following function with respect to x : sin^(-1) {(sqrt(1+x)+sqrt(1-x))/2} ,0

Write each of the following in the simplest form: (i) sin^(-1){(sqrt(1+x)+sqrt(1-x))/2},\ \ 0 < x <1 (ii) sin{2tan^(-1)(sqrt((1-x)/(1+x)))}

Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/(2)}=(pi)/(4)+(sin^(-1)x)/(2),0

Differentiate 'sin^(^^)(-1){(sqrt(1+x)+sqrt(1-x)/2},backslash backslash0

Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/2-(sin^(-1)x)/2,""0 < x < 1