Consider the Function $f(x)=x+2 \cos x$ , For $0 \leq x \leq 2 \pi$

Multiple Choice

Consider the function $f(x) =x+2 \cos x$ , for $0 \leq x \leq 2 \pi$ .Which of the following values are inflection points of f?

A) 0
B) $\frac{\pi}{6}$
C) $\frac{\pi}{2}$
D) $\frac{5 \pi}{6}$
E) $\frac{3 \pi}{2}$