Skip to main content

KiwiBee printable

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.

Find critical points of functions — free printable Calculus math worksheetOpen in KiwiBee to download

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.

Math
Calculus
High School
Worksheets
Ages 14–18
hard

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. Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
  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.

Likes & comments

See what other teachers think and share a helpful note.

Loading likes and comments…

Create more worksheets in our Worksheet Studio

Generate fresh worksheets for any grade, topic, and language — free.

Open the Worksheet Studio

Related worksheets

Find absolute extrema on a closed interval

Find absolute extrema on a closed interval

Worksheets
hard
Ages 14–18
Identify the graph of the derivative from the graph of the function

Identify the graph of the derivative from the graph of the function

Worksheets
hard
Ages 14–18
Find intervals of increase and decrease

Find intervals of increase and decrease

Worksheets
hard
Ages 14–18
Find local extrema using the first derivative test

Find local extrema using the first derivative test

Worksheets
hard
Ages 14–18
Identify the graph of a function from the graph of its derivative

Identify the graph of a function from the graph of its derivative

Worksheets
hard
Ages 14–18
Mean Value Theorem

Mean Value Theorem

Worksheets
hard
Ages 14–18
Properties of operations on rational and irrational numbers

Properties of operations on rational and irrational numbers

Worksheets
hard
Ages 14–18
Convert an explicit formula to a recursive formula

Convert an explicit formula to a recursive formula

Worksheets
hard
Ages 14–18