Chapter 3.3, Problem 30E

The graph of a function $y=f\left(x\right)$ is shown. At which point(s) are the following true?

(a) $\frac{dy}{dx}$ and $\frac{d^{2}y}{dx}$ are both positive.

(b) $\frac{dy}{dx}$ and $\frac{d^{2}y}{dx}$ are both negative.

(c) $\frac{dy}{dx}$ is negative but $\frac{d^{2}y}{dx}$ is positive.