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Find local extrema using the first derivative test

Free printable Calculus math worksheet for "Find local extrema using the first derivative test" — practice analyze functions using the first derivative. No-prep, print or assign online.

Find local extrema using the first derivative test — free printable Calculus math worksheetOpen in KiwiBee to download

This worksheet provides practice problems focused on finding local extrema of functions using the first derivative test. Teachers can use it to reinforce students' understanding of critical points and the application of derivative analysis in calculus. It is ideal for high school students studying function analysis and prepares them for more advanced calculus concepts.

Math
Calculus
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Identify critical points of a function by finding where the first derivative equals zero or does not exist
  • Apply the first derivative test to determine whether each critical point is a local maximum, local minimum, or neither
  • Analyze the behavior of functions using first derivative information to accurately find local extrema

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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