Question

The graph of continuous function f for −3 ≤ x ≤ 16 is shown.

Let g and h be functions defined by g(x) = exf(x) and h(x) = −3x2 + 2x + ln(x).

Part A: Find g′(9).

Part B: The function m is defined by m(x) = f(x) • h(x). Find m′(12).

Part C: The function n is defined by n of x equals h of x over f of x. Find n′(3).