Question

If y = sin (2x), then $\frac{dy}{dx}$ is equal to

• A. 2 cos(2x)
• B. 2 cos(x)
• C. 2 sin(x)
• D. 2 sin(2x)

Answer 1

The correct option is A 2 cos(2x)

Given $y=\sin 2x$

Differentiate on both sides w.r.t. x

$\frac{dy}{dx}=\frac{d}{dx}\left(\sin 2x\right)$

$=\cos 2x\frac{d}{dx}\left(2x\right)$

$\therefore \frac{dy}{dx}=2\cos 2x$