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ART 1 Differentiate the following items below by completing the table. Copy the table and write your answers on a sheet of paper. A. 2x² + 2y² = 162 Steps Solution 1. Take the derivative of both sides with respect to x. 2. Since the left side equation is a sum of two terms, apply the Sum rule of differentiation by distributing the derivatives to them. 3. Perform the differentiation process. Use the Constant multiple with Power rule of differentiation on the first term, then use the Constant multiple with Chain rule on the second term (keep in mind that whenever you are taking the derivative of the variable y the answer is). Lastly, use Constant rule of differentiation on the third term. 4. Use algebraic manipulation to isolate on one side of the equation solely and the rest to the other side 5. Final answer d[ dx dx ddd dx + (x) + ( )= (Show your algebraic manipulation/solution here) dy X dx y dx

ART 1 Differentiate the following items below by completing the table. Copy the table and write your answers on a sheet of paper. A. 2x² + 2y² = 162 Steps Solution 1. Take the derivative of both sides with respect to x. 2. Since the left side equation is a sum of two terms, apply the Sum rule of differentiation by distributing the derivatives to them. 3. Perform the differentiation process. Use the Constant multiple with Power rule of differentiation on the first term, then use the Constant multiple with Chain rule on the second term (keep in mind that whenever you are taking the derivative of the variable y the answer is). Lastly, use Constant rule of differentiation on the third term. 4. Use algebraic manipulation to isolate on one side of the equation solely and the rest to the other side 5. Final answer d[ dx dx ddd dx + (x) + ( )= (Show your algebraic manipulation/solution here) dy X dx y dx

Calculus: Early Transcendentals
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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PART 1 Differentiate the following items below by completing the table. Copy the table and write your answers on a sheet of paper. A. 2x² + 2y² = 162 Steps Solution 1. Take the derivative of both sides with respect to x. 2. Since the left side equation is a sum of two terms, apply the Sum rule of differentiation by distributing the derivatives to them. 3. Perform the differentiation process. Use the Constant multiple with Power rule of differentiation on the first term, then use the Constant multiple with Chain rule on the second term (keep in mind that whenever you are taking the derivative of the variable y the answer is). Lastly, use Constant rule of differentiation on the third term. 4. Use algebraic manipulation to isolate on one side of the equation solely and the rest to the other side 5. Final answer d[ dx dx ddd dx + dx dx (x) + ( )= C (Show your algebraic manipulation/solution here) dy X dx y
Transcribed Image Text:PART 1 Differentiate the following items below by completing the table. Copy the table and write your answers on a sheet of paper. A. 2x² + 2y² = 162 Steps Solution 1. Take the derivative of both sides with respect to x. 2. Since the left side equation is a sum of two terms, apply the Sum rule of differentiation by distributing the derivatives to them. 3. Perform the differentiation process. Use the Constant multiple with Power rule of differentiation on the first term, then use the Constant multiple with Chain rule on the second term (keep in mind that whenever you are taking the derivative of the variable y the answer is). Lastly, use Constant rule of differentiation on the third term. 4. Use algebraic manipulation to isolate on one side of the equation solely and the rest to the other side 5. Final answer d[ dx dx ddd dx + dx dx (x) + ( )= C (Show your algebraic manipulation/solution here) dy X dx y
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