" (i) "sin^(-1)(x sqrt(x)),0<=x<=1

Differentiate w.r.t.x the function sin^(-1)(x sqrt(x)),0<=x<=1

Differentiate w.r.t.x the function in Exercises 1 to 11. sin^(-1)(x sqrt(x)), 0 le x le 1 .

Differentiate w.r.t.x the function in Exercises 1 to 11. sin^(-1)(x sqrt(x)), 0 le x le 1 .

Differentiate w.r.t.x the function sin^(-1)(x sqrt(x)), 0 le x le 1 .

Differentiate w.r.t x the function sin ^(-1)(x sqrt(x)), 0 le x le 1

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)))}

int_(0)^(1)sin^(-1)(x sqrt(1-x)-sqrt(x)sqrt(1-x^(2)))dx

intsqrt(x/(1-x))\ dx is equal to (a) sin^(-1)sqrt(x)+C (b) sin^(-1){sqrt(x)-sqrt(x(1-x))}+C (c) sin^(-1){sqrt(x(1-x))}+C (d) sin^(-1)sqrt(x)-sqrt(x(1-x))+C