1.`" "dy/dx=1/2sin^2x`

If y=x sin^(-1)x+sqrt(1-x^(2)) " then prove that " dy/dx=sin^-1x.

Ify,=sqrt(((1+cos x)/(2))), provethat (dy)/(dx)=-(1)/(2)(sin x)/(2) If y,=sqrt((1+sin x)/(1-sin x)), prove that cos x(dy)/(dx)=y

If y=x sin^(-1)x+sqrt(1-x^(2)), prove that (dy)/(dx)=sin^(-1)x

If y=x sin^(-1)x+sqrt(1-x^(2)), prove that (dy)/(dx)=sin^(-1)x

Find dy/dx" if "sin^(2)x+cos^(2)y=1 .

Find (dy)/(dx) If sin^2 x +cos^2 y=1

Find dy/dx , if sin^(2)x+cos^(2)y=1 .

If (dy)/(dx)= y sin 2x, y(0)=1 , then solution is

If y={(1-tan x)/(1+tan x)}, show that (dy)/(dx)=(-2)/(1+sin2x)

If y=sqrt(((1+cos x)/(2))), prove that (dy)/(dx)=-(1)/(2)(sin)(x)/(2)