## Graph patches - Multiple derivatives.docx - Section 4: Investigation

Sketching Antiderivative Graphs (Part 2 of 2)

# Sketching Antiderivative Graphs (Part 2 of 2)

Unit 3: Formalizing Derivatives and Techniques for Differentiation

Lesson 5 of 21

Lesson 5 of 21

## Objective: SWBAT use the graphical behavior of the 1st and 2nd derivative functions to sketch the original function.

## Big Idea: What do f ’ and f ” say about f ? By reversing the process for sketching derivatives graphically, students will be able to sketch f.

Subject(s):

Math, graphical analysis, Precalculus and Calculus, antiderivatives (graphs), calculus ab, multiple derivatives, geogebra, calculus, AP Calculus, AP Calculus AB

*60 minutes*

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Robert Gordon:

These Multiple Derivative worksheets and Geogebra applets are amazing. Make sure you work through these problems yourself and predict the ways in which students can match up the graphs. Highlight and encourage multiple methods.

| one year ago | ReplyNo comments at this time. Add yours above.

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- UNIT 1: Back to School
- UNIT 2: Limits and Derivatives
- UNIT 3: Formalizing Derivatives and Techniques for Differentiation
- UNIT 4: Applications of Differentiation, Part 1
- UNIT 5: Applications of Differentiation, Part 2
- UNIT 6: The Integral
- UNIT 7: Applications of Integration
- UNIT 8: Differential Equations
- UNIT 9: Full Course Review via Motion
- UNIT 10: The Final Stretch - Preparing for the AP Exam

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- LESSON 1: Sketching Derivative Functions (Part 1 of 2)
- LESSON 2: Sketching Derivative Functions (Part 2 of 2)
- LESSON 3: Sketching Antiderivative Graphs (Part 1 of 2)
- LESSON 4: Sketching Antiderivative Graphs, In The Lab
- LESSON 5: Sketching Antiderivative Graphs (Part 2 of 2)
- LESSON 6: Multiple Representations of Multiple Derivatives
- LESSON 7: Introducing the Power Rule
- LESSON 8: The Product and Quotient Rules
- LESSON 9: Gettin' Triggy Wit It
- LESSON 10: The Chain Rule
- LESSON 11: Chain Rule Continued
- LESSON 12: Chain Chaaain Chaaaaaiin
- LESSON 13: Differentiation - The Next Level
- LESSON 14: Finding Local and Absolute Extrema (Part 1 of 3)
- LESSON 15: Finding Local and Absolute Extrema (Part 2 of 3)
- LESSON 16: Finding Local and Absolute Extrema (Part 3 of 3)
- LESSON 17: The First Derivative Test
- LESSON 18: The First and Second Derivative Tests
- LESSON 19: Differentiation Practice and Review (Part 1 of 3)
- LESSON 20: Differentiation Practice and Review (Part 2 of 3)
- LESSON 21: Differentiation Practice and Review (Part 3 of 3)

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