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

Free printable Calculus math worksheet for "Identify the graph of a function from the graph of its derivative" — practice analyze functions using the first derivative. No-prep, print or assign online.

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.

Math
Calculus
High School
Worksheets
Ages 14–18
hard

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. Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
  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.

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