WeBWorK Standalone Renderer

Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of $f(x)$ is black and has a sharp corner at $x = 2$ . The graph of $g(x)$ is blue.

graph of f and g. f is shown in black and is piecewise linear, extending from (0,0) to (2,2) and then back to (4,0). g is linear, extending from (0,2) to (4,0).

Let $h(x) = f(x)\cdot g(x)$ . Find

A. $h'(1) =$
B. $h'(2) =$
C. $h'(3) =$

(Enter dne for any derivative that does not exist.)

You can earn partial credit on this problem.