Question

If y=sin^4x, find dy/DX​

Answer 1

EXPLANATION.

⇒ y = sin⁴(x).

As we know that,

Differentiate the equation w.r.t x, we get.

⇒ dy/dx = 4sin³x. d(sin x)/dx.

⇒ dy/dx = 4sin³x.cos x.

                                                                                                                               

MORE INFORMATION.

(1) = d(sin x)/dx = cos x.

(2) = d(cos x)/dx = - sin x.

(3) = d(tan x)/dx = sec²x.

(4) = d(cot x)/dx = - cosec²x.

(5) = d(sec x)/dx = sec x tan x.

(6) = d(cosec x)/dx = - cosec x cot x.