ng Task 4: Given the equation x² + y² = 9. Differentiate using implicit differentiation. Express y explicitly and calculate the derivative. Compare the derivatives you obtained in (1) and (2). Substitute the explicit form of y obtained in (2) to the derivative you calcu- lated in (1). Again, compare the result with the derivative you obtained in (2). . Which method is more convenient for you? Why?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 3CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Learning Task 4: Given the equation x² + y² = 9.
1. Differentiate using implicit differentiation.
2. Express y explicitly and calculate the derivative.
3. Compare the derivatives you obtained in (1) and (2).
4. Substitute the explicit form of y obtained in (2) to the derivative you calcu-
lated in (1). Again, compare the result with the derivative you obtained in
(2).
5. Which method is more convenient for you? Why?
Transcribed Image Text:Learning Task 4: Given the equation x² + y² = 9. 1. Differentiate using implicit differentiation. 2. Express y explicitly and calculate the derivative. 3. Compare the derivatives you obtained in (1) and (2). 4. Substitute the explicit form of y obtained in (2) to the derivative you calcu- lated in (1). Again, compare the result with the derivative you obtained in (2). 5. Which method is more convenient for you? Why?
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