Your privacy choices

KiwiBee uses optional Google Analytics, Google Ads, and Meta Pixel cookies to understand adult visitors, measure completed sign-ups, and improve campaigns. Essential cookies always stay on. OpenAI’s ChatGPT Ads Pixel also measures page views and completed enquiries after advertising consent, and may use hashed contact details for matching. Privacy policy

Skip to main content

Classify local extrema using the second derivative test

Printable PDFScroll to explore
Classify local extrema using the second derivative test — free printable Calculus math worksheet

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.

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

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

Good for

ClassworkHomeworkWarm-upCentersSmall groups

Answer Key

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

More worksheets like this

Likes & comments

See what other teachers think and share a helpful note.

Loading likes and comments…
Worksheet Studio

Need a different version? Make your own.

Generate a fresh worksheet for any grade, topic and language. Free.

Open Worksheet Studio