CHAIN RULE DAY 2 WITH TRIG FUNCTIONS Section

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CHAIN RULE: DAY 2 WITH TRIG FUNCTIONS Section 2. 4 A Calculus AP/Dual, Revised

CHAIN RULE: DAY 2 WITH TRIG FUNCTIONS Section 2. 4 A Calculus AP/Dual, Revised © 2018 viet. dang@humbleisd. net 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 1

THE CHAIN RULE 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day

THE CHAIN RULE 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 2

TRIG FUNCTION DERIVATIVES 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day

TRIG FUNCTION DERIVATIVES 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 3

TRIG DERIVATIVES So, when you have to ask your neighbor a question… 2/15/2022 8:

TRIG DERIVATIVES So, when you have to ask your neighbor a question… 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 4

TRIG DERIVATIVES Think opposite of PSST… is to CHANGE 2/15/2022 8: 09 PM §

TRIG DERIVATIVES Think opposite of PSST… is to CHANGE 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 5

REVIEW Basic Functions 2/15/2022 8: 09 PM Composite Functions § 2. 4 A: Chain

REVIEW Basic Functions 2/15/2022 8: 09 PM Composite Functions § 2. 4 A: Chain Rule Day 2 6

COMPOSITE FUNCTIONS 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2

COMPOSITE FUNCTIONS 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 7

EXAMPLE 1 Original Derivative 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule

EXAMPLE 1 Original Derivative 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 8

EXAMPLE 2 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 2 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 9

EXAMPLE 3 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 3 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 10

EXAMPLE 4 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 4 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 11

EXAMPLE 5 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 5 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 12

YOUR TURN 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2

YOUR TURN 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 13

WHEN YOU BUILD A CHAIN… It can keep going… and going… 2/15/2022 8: 09

WHEN YOU BUILD A CHAIN… It can keep going… and going… 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 14

REVISIT ORDER A. Wrapper B. Shell C. Gum 2/15/2022 8: 09 PM § 2.

REVISIT ORDER A. Wrapper B. Shell C. Gum 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 15

WITH TRIG CHAIN RULE FUNCTIONS A. Make sure the exponent and negative are put

WITH TRIG CHAIN RULE FUNCTIONS A. Make sure the exponent and negative are put in the appropriate spots B. Use parenthesis 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 16

EXAMPLE 6 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 6 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 17

EXAMPLE 7 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 7 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 18

EXAMPLE 8 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 8 2/15/2022 8: 09 PM § 2. 4 A: Chain Rule Day 2 19

YOUR TURN 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2

YOUR TURN 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 20

EXAMPLE 9 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 9 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 21

EXAMPLE 10 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 10 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 22

EXAMPLE 10 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 10 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 23

YOUR TURN 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2

YOUR TURN 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 24

EXAMPLE 11 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 11 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 25

EXAMPLE 12 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 12 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 26

EXAMPLE 13 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2

EXAMPLE 13 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 27

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) 2/15/2022 8: 10 PM § 2. 4

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 28

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) Vocabulary 2/15/2022 8: 10 PM Connections and

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) Vocabulary 2/15/2022 8: 10 PM Connections and Process § 2. 4 A: Chain Rule Day 2 Answer and Justifications 29

AP MULTIPLE CHOICE PRACTICE QUESTION 2 (NON-CALCULATOR) 2/15/2022 8: 10 PM § 2. 4

AP MULTIPLE CHOICE PRACTICE QUESTION 2 (NON-CALCULATOR) 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 30

AP MULTIPLE CHOICE PRACTICE QUESTION 2 (NON-CALCULATOR) Vocabulary 2/15/2022 8: 10 PM Connections and

AP MULTIPLE CHOICE PRACTICE QUESTION 2 (NON-CALCULATOR) Vocabulary 2/15/2022 8: 10 PM Connections and Process § 2. 4 A: Chain Rule Day 2 Answer and Justifications 31

ASSIGNMENT Page 136 43 -71 odd, 84, 87, 93, 102 2/15/2022 8: 10 PM

ASSIGNMENT Page 136 43 -71 odd, 84, 87, 93, 102 2/15/2022 8: 10 PM § 2. 4 A: Chain Rule Day 2 32