Single Variable Calculus, Chapter 3, 3.2, Section 3.2, Problem 1

The graph of $f$ is given. Estimate the value of each derivative then sketch the graph of $f'$.








a.) $f'(-3)$

Referring to the graph, the approximate value of $f'(-3)$ is $1.5$

b.) $f'(-2)$

Referring to the graph, the value of $f'(-2)$ is $1$

c.) $f'(-1)$

Referring to the graph, the value of $f'(-1)$ is

d.) $f'(0)$

Referring to the graph, the value of $f'(0)$ is $-4$

e.) $f'(1)$

Referring to the graph, the value of $f'(1)$ is

f.) $f'(2)$

Referring to the graph, the approximate value of $f'(2)$ is $1$

g.) $f'(3)$

Referring to the graph, the approximate value of $f'(3)$ is $1.5$