6.2 Related Ratesap Calculus

6.2 Related Ratesap Calculus

AP Calculus LHopitals Rule and Related rates. AP Calculus Learning Objectives Explored in this Section. Calculate derivatives; Interpret the meaning of a derivative. One specific problem type is determining how the rates of two related items change at the same time. The keys to solving a related rates problem are identifying the variables that are changing and then determining a formula that connects those variables to each other. Calculus with Applications (10th Edition) answers to Chapter 6 - Applications of the Derivative - 6.5 Related Rates - 6.5 Exercises - Page 341 2 including work step by step written by community members like you. Textbook Authors: Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P., ISBN-10:, ISBN-13: 978-0-32174-900-0, Publisher: Pearson. SECTION 2.6 Related Rates 149 Section 2.6 Related Rates. Find a related rate. Use related rates to solve real-life problems. Finding Related Rates You have seen how the Chain Rule can be used to find implicitly. Another important use of the Chain Rule is to find the rates of change of two or more related. MAKING COFFEE: Coffee is draining from a conical filter into a cylindrical coffee pot at the rate of 10in^3/min A) how fast is the level of the coffee pot rising when the coffee in the cone is 5in deep? B)How fast is the level in the cone falling at that moment? I have been trying to work out this problem for a week and i really need help. If you can please show step by step work so i can.

6.2: Related Rates

  • You now know how to take the derivative with respect to the independent variable. In other words, you know how to determine a function's rate of change when given the input's rate of change. But what if the independent variable was itself a function? What if, for example, the input was a function of time? How do we identify how the function changes as time changes? This subunit will explore the answers to these questions.

  • Read Section 6.2 (pages 127-132). Another application of the chain rule, related rates problems apply to situations where multiple dependent variables are changing with respect to the same independent variable. Make note of the summary in the middle of page 128.

  • Watch this video until 40:30. The majority of the lecture is about related rates, despite its title.

  • Work through problems 1, 3, 5, 11, 14, 16, 19-21, and 25 for Exercise 6.2. When you are done, check your answers against Appendix A.

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