
Identify the graph of the second derivative from the graph of the function
Free printable Calculus math worksheet for "Identify the graph of the second derivative from the graph of the function" — practice analyze functions using the second derivative. No-prep, print or assign online.
This worksheet challenges students to interpret the graph of a function and accurately identify the corresponding graph of its second derivative. Designed for high school calculus learners, it emphasizes understanding concavity and inflection points as crucial concepts. Teachers can use this resource to reinforce students' analytical skills in second derivative applications and deepen their comprehension of function behavior.
Learning objectives
- Analyze the graph of a function to determine the behavior of its second derivative.
- Identify key features such as concavity and inflection points from the function's graph.
- Match the graph of the second derivative based on the observed characteristics of the original function.
Answer Key

How to use this worksheet
- Click “Download Worksheet” to get the PDF — free with a KiwiBee account (up to 50 downloads a month).
- Print at home or in class for High School; it's no-prep, with no extra materials needed.
- Use the included answer key to mark it in seconds.
Frequently asked questions
Is the “Identify the graph of the second derivative from the graph of the function” worksheet free?
Yes. “Identify the graph of the second derivative from the graph of the function” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 50 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 second derivative.
Does it come with an answer key?
Yes — a matching answer key is included so you can grade it in seconds.
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