Derivative Graph Notes

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    Directions: Given the function on the left, graph its derivative on the right.

    Example 1

    What if you're not given the equationof the original function?

    1) Graph of Graph of

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    2)Graph of

    Graph of

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    Graph of Graph of3)

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    What do you notice about the answer column on the right and the graph?

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    Which graph on the right is the derivative graph of the function belowon the left?

    Example 6: Multiple Choice

    A.

    B.

    C.

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    Which graph on the right is the derivative graph of the function below

    on the left?

    Example 7: Multiple Choice

    A.

    B.

    C.

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    Graphing a Function Given its Derivative Graph

    Graph ofGraph of

    Directions: The function on the left is . Graph on the right.

    What type of function would be?

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    Example 9:Given the graph of the derivative, sketch a possible graphfor the function.

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    Example 11: Multiple Choice

    The function on the left is . Which graph on the right is ?

    A.

    B.

    C.

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    2. is increasing when is ___________________.

    1. is zero when is _____________________.

    3. is negative when is______________________.

    Recalling the Lesson: Fill in the blank.

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    Use these websites to practice...

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    !""#$%%&-95#)+-'5!6#'-,4%.51-*)43"%:-0:-91);)3+4345%,-167)"67-8)##8'!".3

    !""#$%%&-95#)+-'5!6#'-,4%.51-*)43"%:-0:-91);)3+4345%,-167)"67-8.)"+!6*2'!".3

    !""#$%%&-95#)+-'5!6#'-,4%.51-*)43"%:-0:-91);)3+4345%,-167)"67-8.)"+!6*28)*"6,-167)"67-'!".3

    Practice graphing a derivative given the graph of the original function:

    Practice graphing an original function given a derivative graph:

    Multiple Choice: Graphing a derivative.

    Multiple Choice: Graphing an original function given a derivative.