Question

Second derivative of sin²x

Answer 1

Answer:

$\frac{ {d}^{2} y}{d {x}^{2} } = 2\cos(2x) \\ \\ \:$

Step-by-step explanation:

To find the second derivative of

$y = {sin}^{2} x$

Differentiate it with respect to x,two times

$\frac{dy}{dx} = 2 \sin(x) \cos(x) \\ \\ \frac{dy}{dx}= \sin(2x )$

Differentiate it again

$\frac{ {d}^{2} y}{d {x}^{2} } = 2\cos(2x)$

Hope it helps you.

Answer 2

Answer:

double differentiation of sin²x = 2cos(2x)