y=sin^(3)sqrt(x)

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

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

If y=sin sqrt(x)*cos sqrt(x) ,then dy/dx=

Find the domains of definition of the following functions: (a) y=(2x-3)/sqrt(x^(2)+2x+3) (b) y=log sin(x-3) +sqrt(16-x^(2)) , (c) y=sqrt(3-x) +arc cos ""(x-2)/(3) (d) y=x/(log (1+x))

Prove the following: sin^-1x-sin^-1y = sin^-1[x(sqrt(1-y^2))-y(sqrt(1-x^2))]

x = (sin^3t)/(sqrt(cos 2t)), y = (cos^3 t)/(sqrt(cos 2t)) .

If sqrt(3)x-sqrt(2y)=sqrt(3);sqrt(5)x+sqrt(3)y=sqrt(2) then x and y are

find dy/dx if y=sqrt(x)sin^3x+sinsqrtx

If y = sqrt (sin ^(3) (5x+3) )+ sqrt (cos^(3) (5x+3) ), then (dy)/(dx) =

The derivative of y=sin^(-1)((3x+sqrt(16-16x^(2)))/(5)) with respect to x at x=(sqrt(3))/(2) , is