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Identifying Graphs of First and Second Derivatives Activity

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Derivatives & Second Derivatives - Graphing Concepts:

This activity requires students to match up the graph of a function with the graphs of its 1st and 2nd derivative. This will help students to visually compare graphs and see how slopes at different points transfer to the graph of the derivative.

The activity does not require differentiation, just the understanding of what a derivative means in terms of the graph.

Students cut out 10 squares with the f'(x) and f''(x) graphs mixed up. They decide where each belongs on the activity sheet containing the original f(x) functions.

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Try these other resources as well:
Graphing the Derivative of a Function: Inquiry Activity
Derivative Infographic
Discriminant Card Sort

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Teaching Duration
30 minutes
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