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Derivatives

Derivatives

Graphs of f ( x ) and f ' ( x ) Exercises

Example 1

For the function f(x) below, draw a graph of f ' (x). Don't worry too much about whether f ' is straight or curvy—focus on getting it to cross the x axis in the right places.

Example 2

For the function f(x) below, draw a graph of f ' (x). Don't worry too much about whether f ' is straight or curvy—focus on getting it to cross the x axis in the right places.

Example 3

For the function f(x) below, what would the graph of f ' (x) look like?

Example 4

For the function f(x) below, what would a rough sketch of f ' (x) look like?

Example 5

From the graph of f ' (x), what might the graph of f(x) look like? Make sure to label each graph.

Example 6

From the graph of f ' (x), draw a graph of f(x). Make sure to label each graph.

Example 7

From the graph of f ' (x), draw a graph of f(x). Make sure to label each graph.

Example 8

From the graph of f ' (x), what will the graph of f(x) look like? Make sure to label each graph.