Question

Find the derivatives of the following:
$5\sin x-6\cos x+7$.

Answer 1

Let $f\left(x\right)=5\sin x-6\cos x+7$
$\therefore f^{\prime }\left(x\right)=5\frac{d\left(\sin x\right)}{dx}-6\frac{d\left(\cos x\right)}{dx}+\frac{d\left(7\right)}{dx}$
$=5\cos x-6(-\sin x)+0$

$=5\cos x+6\sin x$