Find the derivative of (y = sin^{2} (5x)) with respect to x.

Correct Answer: Option A

Explanation

(y = sin^{2} (5x))

Let u = sin 5x

(frac{mathrm d u}{mathrm d x} = 5 cos 5x)

(therefore y = u^{2})

(frac{mathrm d y}{mathrm d u} = 2u)

(frac{mathrm d y}{mathrm d x} = 2u . 5 cos 5x)

= (10u cos 5x)

= (10 sin 5x cos 5x)