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Find intervals of increase and decrease

Free printable Calculus math worksheet for "Find intervals of increase and decrease" — practice analyze functions using the first derivative. No-prep, print or assign online.

This worksheet provides challenging problems focused on analyzing functions using the first derivative to find intervals of increase and decrease. Teachers can use it to reinforce students' understanding of derivative sign tests and critical point identification. It is ideal for high school calculus students aiming to master function behavior analysis and derivative applications.

Math
Calculus
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Determine intervals where a function is increasing using the first derivative
  • Identify intervals where a function is decreasing by analyzing the sign of the first derivative
  • Apply critical point analysis to classify intervals of increase and decrease in given functions

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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