WeBWorK using host: https://webwork-ptx.aimath.org, format: simple seed: 80

Use the graph below to find exact values of 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 a piecewise linear function f, in black, and and linear function g, in blue. f extends from (0,0) to (2,4) to (4,0). g extends from (0,1) to (4,0).

graph of a piecewise linear function f, in black, and and linear function g, in blue. f extends from (0,0) to (2,4) to (4,0). g extends from (0,1) to (4,0).

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

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

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