Ch 3 ReviewTues Dec 8

Do Now

Find the 3rd derivative of each function

1)

2)

HW Review p.227 #29 31 33

• 29) -65 rad/s

• 31) .03 rad/s

• 33) 6pi or 18.85 mm^2/hr

HW Review: p.228 #48 51 52

• 48) 2000pi = 6283 ft^2 / min

• 51) -2.088, -2.332

• 52) 1.59 m/sec

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)

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

Ch 3 ReviewWed Dec 9

• Do Now

• Differentiate

• 1)

• 2)

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)

Basic Rules

• Sinx -> cosx

• Cosx -> -sinx

• Tanx -> sec^2 x

• E^x -> e^x

• Ln x -> 1/x

• B^x -> b^x lnb

• Product Rule: f’g

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

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

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

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