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.
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.
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
- 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 local extrema using the first derivative test” worksheet free?
Yes. “Find local extrema using the first derivative test” 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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