Local Linearization, 1st and 2nd Derivative Tests, and Computing Derivatives

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Objective

SWBAT estimate points on a function using local linearity; SWBAT use the first and second derivative tests to identify local extrema; SWBAT differentiate functions using power, product, quotient and chain rules.

Big Idea

We’ve justified interest in derivatives conceptually; we now review computing derivatives algebraically and some mathematical applications.

Lesson Overview

Warm-up and Homework Review

25 minutes
Local Linearization, 1st and 2nd Derivative Tests, and Computing Derivatives, Lesson Plan, Warm-up and Homework Review.pdf page 1

Setting the Stage

15 minutes

Distribute the Limits Quiz - Course Review.  This is a no calculator quiz, and students should need just about 15 minutes to complete it. 

 

Resources:  Limits Quiz – Course Review

Investigation

77 minutes
Local Linearization, 1st and 2nd Derivative Tests, and Computing Derivatives, Lesson Plan, Investigation.pdf page 1
Local Linearization, 1st and 2nd Derivative Tests, and Computing Derivatives, Lesson Plan, Investigation.pdf page 2

Closure + Homework

3 minutes
Local Linearization, 1st and 2nd Derivative Tests, and Computing Derivatives, Lesson Plan, Closure + Homework.pdf page 1