Chapter 4.3, Problem 42E

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

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

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

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