Calculus First Derivative Test with Lesson Video (Unit 5)

The First Derivative Test Calculus Lesson:

Your AP Calculus students will find critical numbers, find intervals of increase and decrease. Students will apply the First Derivative Test to locate relative extrema of a function. Your students will have guided notes, homework, and a content quiz on First Derivative Test - Increasing & Decreasing Functions that cover the concepts in depth from the six-lesson unit on Analytical Applications of Differentiation. #distancelearningtpt

What is included in this resource?

⭐ Guided Student Notes

⭐ Fully-editable SMART Board® Slides

⭐ Homework/Practice assignment

⭐ Content quiz

⭐ Video Lesson Link for Distance Learning - Flipped Classroom models

⭐ Full solution set

**(12/17/2021) Revised the Guided Notes Key - Example 6 had the wording reversed on rel max and rel min.

**(1/7/2022) Changed Forms A & C Daily Quiz question 3 wording changed to absolute extrema.

**(2/13/2023) HW Key question #3 intervals corrected.

Lesson Objective:

★ Use the first derivative test to find intervals of increase and decrease, maximum and minimum values.

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NOTE: This lesson has been updated to reflect the changes in the AP Calculus CED Binder and includes a LESSON VIDEO for Distance Learning needs.

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College Board® Topics:

Topic 5.3: Determining Intervals on Which a Function Is Increasing or Decreasing

Topic 5.4: Using the First Derivative Test to Determine Relative (Local) Extrema

Topic 5.5: Using the Candidates Test to Determine Absolute (Global) Extrema

College Board® Learning Objectives:

FUN-4.A: Justify conclusions about the behavior of a function based on the behavior of its derivatives.

FUN-4.A.1: The first derivative of a function can provide information about the function and its graph, including intervals
where the function is increasing or decreasing.

FUN-4.A.2: The first derivative of a function can determine the location of relative (local) extrema of the function.

FUN-4.A.3: Absolute (global) extrema of a function on a closed interval can only occur at critical points or at endpoints.

The unit includes:

1) Mean Value Theorem

2) Extrema on an Interval

3) First Derivative Test

4) Second Derivative Test

5) Curve Sketching

6) Optimization

Click HERE to SAVE 20% by buying all ANALYTIC APPLICATIONS OF DIFFERENTIATION products, including cooperative activities, in UNIT 5 MEGA BUNDLE.

You might be interested in:

Applications of the Derivative Scavenger Hunt

Maximize-A-Box Optimization Project

Analytic Applications of Differentiation Unit Homework

Analytic Applications of Differentiation Assessments

Analytic Applications of Differentiation Essentials

Activities & Assessment Bundle

AP® is a registered trademark of the College Board® which was not involved in the creation of, and does not endorse this product.

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