(d)/(dx)(sin^(2)x)

(d)/(dx)[sin^(2)2x] =?

(d)/(dx) (sin^(3)x) = …….

(d)/(dx)sin x

(d)/(dx)sin(x^(x))

d/(dx)(sin^(n)x)=…………………. .

Prove that (d)/(dx)[(sin2x+1/(cos^2x)]

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

(d)/(dx)[cos^(2)x(3-4cos^(2)x)^(2)]+(d)/(dx)[sin^(2)(3-4sin^(2)x)^(2)]=