Learning Task 4: Given the equation x² +y² =9 . %3D 1. Differentiate using implicit differentiation. 2. Express y explicitly and calculate the derivative. 3. Compare the derivatives you obtained in (1) and (2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Learning Task 4: Given the equation x2 +y2 =9.
1. Differentiate using implicit differentiation.
2. Express y explicitly and całculate 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 całculate 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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