" 35."(y=x)/(y=(sin x)^(x)+sin^(-1)sqrt(x))

" (y) "y=(sin x)^(x)+sin sqrt(x)

If y=(sin x)^(x)+sin^(-1)sqrt(1-x^(2)) then find (dy)/(dx)

(dy)/(dx) if y=sin^(-1)x+sin^(-1)sqrt(1-x^(2)),x is 0 to 1

y= ( 1+sin x)/( 1-sin x)

Find (dy)/(dx), if y=(sqrt(sin x))/(sin sqrt(x))

y=sin^(-1)[sqrt(x-a x)-sqrt(a-a x)]

If y=sec^(-1)((sqrt(x-1))/(x+sqrt(x)))+sin^(-1)((x+sqrt(x))/(sqrt(x-1))) , then (dy)/(dx)= ……………

sin^(-1)[sqrt(x^(2)-x^(3))-sqrt(x-x^(3))]=..... a) sin^(-1)x+sin^(-1)sqrt(x) b) sin^(-1)x-sin^(-1)sqrt(x) c) sin^(-1)sqrt(x)-sin^(-1)x d) 2sin^(-1)x

Find (dy)/(dx), if y=sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))]

Applying logrithmic differentiation find the derivatives of the following functions (a) y=(cos x)^(sin x) (b) y=((3 sqrt(sin 3x))/(1-sin 3x)) (c ) y=sqrt(x-1)/((3sqrt(x+2))^(2)(sqrt(x+3))^(3))