Find critical points of functions
Free printable Calculus math worksheet for "Find critical points of functions" — practice analyze functions using the first derivative. No-prep, print or assign online.
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
- Click “Download Worksheet” to get the PDF — free with a KiwiBee account (up to 25 downloads a month).
- Print at home or in class for High School; it's no-prep, with no extra materials needed.
- Hand it out as classwork, homework, or a quick warm-up.
Frequently asked questions
Is the “Find critical points of functions” worksheet free?
Yes. “Find critical points of functions” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 25 downloads a month.
What grade or age is this Math worksheet for?
It's designed for High School (ages 14–18), covering Analyze functions using the first derivative.
Do I need to prep anything?
No. It's a no-prep, print-and-go worksheet — just download and hand it out.
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