Decide where functions are decreasing and increasing. Understand the relationship between the increasing and decreasing behavior of f and the sign of f'.

Extrema

by Allen Wolmer

Mooculus Calculus Textbook Sect 4.1, pp 64-66

Curriki RatingNR

Intervals of Increase and Decrease

by Allen Wolmer

A Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos.

Section 10.6 pp 145-146

The first time you access this link to download the PDF, you will be asked four questions. Any that do not apply to you may be answered using any of the options listed.

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Increasing and Decreasing Functions

by Allen Wolmer

Instructional video from NROC/Hippocampus on increasing and decreasing functions from the Phoenix College Collection -Calculus 1.

Video duration:  10:04

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Using the First Derivative to Determine Where a Function is Increasing and Decreasing to Determine Relative Extrema

by Allen Wolmer

Instructional video from NROC/Hippocampus on Using the First Derivative to Determine Where a Function is Increasing and Decreasing to Determine Relative Extrema from the Phoenix College Collection-Calculus 1.

Video duration:  6:02

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Extrema Exercises

by Allen Wolmer

Mooculus Calculus Textbook Exercises, Sect 4.1, p 67 (Ans. p 248)

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
Curriki RatingNR

Intervals of Increase and Decrease Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 5 Use appropriate tools strategically.
• 6 Attend to precision.
• 7 Look for and make use of structure.
• 8 Look for and express regularity in repeated reasoning.
Curriki RatingNR

Comparing a Function with its Derivatives Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 5 Use appropriate tools strategically.
• 7 Look for and make use of structure.
Curriki RatingNR

Increasing and Decreasing Functions Exercises

by Allen Wolmer

This set of exercises supports the following Standards of Mathematical Practice

• 1 Make sense of problems and persevere in solving them.
• 2 Reason abstractly and quantitatively.
• 5 Use appropriate tools strategically.
• 7 Look for and make use of structure.
Curriki RatingNR

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