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Find critical points of functions

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Find critical points of functions — free printable Calculus math worksheet

This worksheet provides challenging problems focused on finding critical points of functions using the first derivative. Teachers can use it to reinforce students' understanding of derivative applications in function analysis and to prepare them for advanced calculus concepts. Ideal for high school calculus classes aiming to deepen skills in analyzing function behavior and optimization.

Learning objectives

  • Identify critical points of a function by finding where the first derivative is zero or undefined
  • Analyze the behavior of functions using the first derivative to determine local maxima and minima
  • Apply differentiation techniques to solve complex problems involving critical points

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. Hand it out as classwork, homework, or a quick warm-up.

Good for

ClassworkHomeworkWarm-upCentersSmall groups

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