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?
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?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer only 4 & 5, thank u!
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdabbae66-1100-4734-8c9a-e415b8cd57ca%2F215620f0-42d0-43b7-b9dd-9440449a9361%2Fvoubnpp_processed.jpeg&w=3840&q=75)
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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