Identify the graph of a function from the graph of its derivative
Free printable Calculus math worksheet for "Identify the graph of a function from the graph of its derivative" — practice analyze functions using the first derivative. No-prep, print or assign online.
This worksheet challenges students to identify the graph of a function based on the graph of its derivative, reinforcing their understanding of the relationship between a function and its first derivative. Teachers can use this resource to deepen students' analytical skills in calculus, focusing on interpreting critical points and function behavior. Ideal for high school calculus classes, it supports mastery of function analysis using derivative graphs.
Learning objectives
- Interpret the graph of a derivative to determine the behavior of the original function
- Analyze critical points and intervals of increase or decrease from a derivative graph
- Match given derivative graphs to their corresponding original function graphs
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 “Identify the graph of a function from the graph of its derivative” worksheet free?
Yes. “Identify the graph of a function from the graph of its derivative” 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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