Chapter 4.3, Problem 62E

(a)

To determine

To calculate: The interval where the first provided function $f\left(x\right)=\sin x-\sqrt{3}\cos x$ is increasing or decreasing in the domain $\left[0,2\pi \right]$.

(b)

To determine

To calculate: The relative extrema of the function $f\left(x\right)=\sin x-\sqrt{3}\cos x$ using the first derivative test.

(c)

To determine

To graph: The function $f\left(x\right)=\sin x-\sqrt{3}\cos x$ and find the relative extrema.