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Ch 3 Review Tues Dec 8 Do Now Find the 3rd derivative of each function 1) 2)

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Presentation on theme: "Ch 3 Review Tues Dec 8 Do Now Find the 3rd derivative of each function 1) 2)"— Presentation transcript:

1 Ch 3 Review Tues Dec 8 Do Now Find the 3rd derivative of each function 1) 2)

2 HW Review p.227 #29 31 33 29) -65 rad/s 31).03 rad/s 33) 6pi or 18.85 mm^2/hr

3 HW Review: p.228 #48 51 52 48) 2000pi = 6283 ft^2 / min 51) -2.088, -2.332 52) 1.59 m/sec

4 Ch 3 Review Derivatives: 9 questions x 8 pts each = 72 pts –Product Quotient Rules (2 plain ones as well as scattered through all the problems) –Power rule, Trig, exponential, and ln functions (scattered through all the problems) –Chain Rule (2) –Implicit Differentiation (2) –Multiple Derivatives (2) – product, chain, etc –Related Rates (1)

5 Closure Journal Entry: How does the chain rule work? How can you determine what the ‘inside’ is? How is it used for implicit differentiation? p.204-205 #29-41 45-67 95-105 109- 113 119-123 odds Ch 3 Test Thurs

6 Ch 3 Review Wed Dec 9 Do Now Differentiate 1) 2)

7 Ch 3 Review Derivatives: Product Quotient Rules –Power rule, Trig, exponential, and ln functions (scattered through all the problems) –Chain Rule –Implicit Differentiation –Multiple Derivatives – product, chain, etc –Related Rates (1)

8 Basic Rules Sinx -> cosx Cosx -> -sinx Tanx -> sec^2 x E^x -> e^x Ln x -> 1/x B^x -> b^x lnb

9 Product Rule: f’g

10 Ex A 15 ft ladder leans against a wall. The ladder slides away from the wall at a rate of 3 ft/s. Find the rate at which the top of the ladder slides down when the bottom of the ladder is 9 ft from the wall

11 Ex2 A forest fire spreads in a circular pattern. The area of the fire increases at a rate of 20pi ft^2/min. Find the rate at which the radius is increasing when R = 6 ft

12 Ch 3 Review Exercises Problems that will be similar to the test problems: Page 204-205 #29-41 45-67 95-105 109-113 odds 118-123

13 Closure Journal Entry: How does the chain rule work? How can you determine what the ‘inside’ is? How is it used for implicit differentiation? p.204-205 #29-41 45-67 95-105 109- 113 119-123 odds Ch 3 Test tomorrow


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