Question

Differentiation of $4(\sin \frac{x}{4}-\cos \frac{x}{4})$

Answer 1

Let

$y=4(\sin \frac{x}{4}-\cos \frac{x}{4})$

On differentiating w.r.t $x$, we get

$\frac{dy}{dx}=4(\cos \frac{x}{4}\times \frac{1}{4}+\sin \frac{x}{4}\times \frac{1}{4})$

$\frac{dy}{dx}=\cos \frac{x}{4}+\sin \frac{x}{4}$

Hence, this is the answer.