Find `d/dx(sin^2x)`.

For the following differentiation results, write down the corresponding results in integrations: d/(dx)(sin^2x)=sin2x .

Prove that cos^-1x = pi/2 - sin^-1 x for -1lexle1 and use this result to find d/dx(cos^-1x)

Find d/(dx) (sin (cosx) + cos (sinx))

Differentiate w.r.t. x or find : dy/dx of: x^sin x +(sin x)^x .

d/dx(e^(2sin^-1x)) =

Differentiate (sin x)^(sin x) w.r.t. x.

If (d)/(dx) (sin x+c)=cos x , then find int cos x dx .

Differentiate : x^sin x + (sin x)^x w.r.t x :

Differentiate the w.r.t x tan^-1((1+sin x)/(1- sin x)) .

Evaluate d/(dx) (sin^(m) x cos ^n x ) , where m,n inN .