Question

Differentiate the  \( \sin mx \) with respect to \( x \).

Hint:

For functions of the form \( \sin(ax) \), use \( \frac{d}{dx} \sin(ax) = a \cos(ax) \).

Answer 1

Differentiating \( \sin mx \) using the chain rule: \[ \frac{d}{dx} (\sin mx) = m \cos mx. \]