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Identify the graph of a function from the graph of its derivative

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Identify the graph of a function from the graph of its derivative — free printable Calculus math worksheet

This worksheet challenges students to identify the graph of a function based on the graph of its derivative, reinforcing their understanding of the relationship between a function and its first derivative. Teachers can use this resource to deepen students' analytical skills in calculus, focusing on interpreting critical points and function behavior. Ideal for high school calculus classes, it supports mastery of function analysis using derivative graphs.

Learning objectives

  • Interpret the graph of a derivative to determine the behavior of the original function
  • Analyze critical points and intervals of increase or decrease from a derivative graph
  • Match given derivative graphs to their corresponding original function graphs

How to use this worksheet

  1. Select “Sign in / Sign up to download”, then sign in with Google or email to get the PDF from KiwiBee Printables.
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Hand it out as classwork, homework, or a quick warm-up.

Good for

ClassworkHomeworkWarm-upCentersSmall groups

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