Mathematics

The core concept here is derivative of trigonometric functions—you need to know that the derivative of $\sin x$ is $\cos x$ and the derivative of $\cos x$ is $-\sin x$. Once you differentiate $f(x)$ term by term, you'll have a formula for $f'(x)$ that works at any point. Then it's just a matter of plugging in $x = \pi/3$ and evaluating $\sin(\pi/3)$ and $\cos(\pi/3)$ using standard angle values.

The core concept here is derivative of trigonometric functions—you need to know that the derivative of $\sin x$ is $\cos x$ and the derivative of $\cos x$ is $-\sin x$. Once you differentiate $f(x)$ term by term, you'll have a formula for $f'(x)$ that works at any point. Then it's just a matter of plugging in $x = \pi/3$ and evaluating $\sin(\pi/3)$ and $\cos(\pi/3)$ using standard angle values.