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Classify local extrema using the second derivative test

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

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

This worksheet provides practice problems focused on classifying local extrema using the second derivative test, a key concept in calculus. Teachers can use it to reinforce students' understanding of critical points and concavity, helping them analyze functions more confidently. Ideal for high school calculus classes aiming to deepen skills in function analysis and optimization.

Math
Calculus
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Identify critical points of a function by finding where the first derivative is zero or undefined
  • Apply the second derivative test to determine the nature of local extrema (minimum, maximum, or neither)
  • Analyze given functions to classify local extrema accurately using second derivative information

Answer Key

Answer key for Classify local extrema using the second derivative test — free printable Math worksheet

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. Use the included answer key to mark it in seconds.

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