Evaluate the derivatives of the following functions using implicit differentiation. Write your answers on a separate sheet of paper. 1. x + 3y = y² + 4 A. ¹ B. 3-2y 3-2y C. -2- D. ¹ 2. 4y2x = 3x² 3x+1 A. B. 2x+1 C. 2 D. 3 3. xy - 2x² = 10 4x-y A. C. X D. 4y-x B. 3x+1 2 4x-y X 2-3y 2x+1 4y-x 2-3y

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 2
Evaluate the derivatives of the following functions using implicit differentiation. Write
your answers on a separate sheet of paper.
1. x + 3y = y² + 4
1
A.
B.
C. -
D. ¹
3-2y
3-2y
2-3y
2. 4y-2x = 3x²
3x+1
2x+1
A.
C.
D.
2
3
3. xy - 2x² = 10
4x-y
A.
C.-4y-x
D. 4y-x
X
X
x
4. y + = = y²
A.
C.
D.
4y-2
2y-4
5. 4x2 + 4y2 = 36
A. -
6. x² + 3xy-y = 7
2x-3y
A.
3x-1
B.
B.
B.
B.
B.
3x+1
2
4x-y
X
4y-2
XIA
2x+3y
3x-1
C.
2x-3y
3x+1
2-3y
2x+1
3
2y-4
D. 1/2
D.
-2x-3y
3x-1
Transcribed Image Text:PART 2 Evaluate the derivatives of the following functions using implicit differentiation. Write your answers on a separate sheet of paper. 1. x + 3y = y² + 4 1 A. B. C. - D. ¹ 3-2y 3-2y 2-3y 2. 4y-2x = 3x² 3x+1 2x+1 A. C. D. 2 3 3. xy - 2x² = 10 4x-y A. C.-4y-x D. 4y-x X X x 4. y + = = y² A. C. D. 4y-2 2y-4 5. 4x2 + 4y2 = 36 A. - 6. x² + 3xy-y = 7 2x-3y A. 3x-1 B. B. B. B. B. 3x+1 2 4x-y X 4y-2 XIA 2x+3y 3x-1 C. 2x-3y 3x+1 2-3y 2x+1 3 2y-4 D. 1/2 D. -2x-3y 3x-1
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