Chapter 5 Applications of Derivatives Section 5.6 Related Rates.

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Presentation transcript:

Chapter 5 Applications of Derivatives Section 5.6 Related Rates

Quick Review

Quick Review Solutions

What you’ll learn about Development of a mathematical model Creation of an equation that relates the variable whose rate of change is known to the variable whose rate of change is sought Use of Chain Rule to relate the rates of change Identification of solution Interpretation of solution …and why Related rate problems are at the heart of Newtonian mechanics; it was essentially to solve such problems that calculus was invented.

Strategy for Solving Related Rate Problems

Example A Highway Chase

Example A Highway Chase (cont’d)

Quick Quiz

Quick Quiz

Chapter Test

Chapter Test

Chapter Test

Chapter Test

Chapter Test

Chapter Test Solutions

Chapter Test Solutions

Chapter Test Solutions

Chapter Test Solutions

Chapter Test Solutions