For items 6-10: Find using implicit differentiation. 6. 3y2 + 2x - 14 = 0 x2 A. y'=- y B. y' x2 C. y'= - Y D. y'= x2 - y .2 1 7. x? 3 y В. Су dx C. dy D. dy . 3y 3y 2y 3x 2х А. dy dx 2x 3x dx 2y dx 8. x? + y? = xy %3D 2у+x B. y'= X-2y А. У'— у+2х x-2y В. У'— С. У'— D. y'= Y-2x %3D 2х-у X+2y 9. x+xy-y = 0 -у-1 X-2y dy C. x у-1 x+2y У+1 A. = 1-y %3D dy В. D. %3D %3D x-2y 2x+y 10. (x2 + y?)(x² - y) = 1 (Hint: Multiply first, then differentiate.) D. - ,3 X° В. y° A. С. ,3

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...
Question
For items 6-10: Find
using implicit differentiation.
6. 3y2 + 2x - 14 = 0
x2
A. y'=-
y
B. y' x2
C. y'= - Y
D. y'= x2 - y
.2
1
7. x?
3
y
В. Су
dx
C. dy
D. dy .
3y
3y
2y
3x
2х
А. dy
dx
2x
3x
dx
2y
dx
8. x? + y? = xy
%3D
2у+x
B. y'=
X-2y
А. У'—
у+2х
x-2y
В. У'—
С. У'—
D. y'= Y-2x
%3D
2х-у
X+2y
9. x+xy-y = 0
-у-1
X-2y
dy
C. x
у-1
x+2y
У+1
A. =
1-y
%3D
dy
В.
D.
%3D
%3D
x-2y
2x+y
10. (x2 + y?)(x² - y) = 1 (Hint: Multiply first, then differentiate.)
D. -
,3
X°
В.
y°
A.
С.
,3
Transcribed Image Text:For items 6-10: Find using implicit differentiation. 6. 3y2 + 2x - 14 = 0 x2 A. y'=- y B. y' x2 C. y'= - Y D. y'= x2 - y .2 1 7. x? 3 y В. Су dx C. dy D. dy . 3y 3y 2y 3x 2х А. dy dx 2x 3x dx 2y dx 8. x? + y? = xy %3D 2у+x B. y'= X-2y А. У'— у+2х x-2y В. У'— С. У'— D. y'= Y-2x %3D 2х-у X+2y 9. x+xy-y = 0 -у-1 X-2y dy C. x у-1 x+2y У+1 A. = 1-y %3D dy В. D. %3D %3D x-2y 2x+y 10. (x2 + y?)(x² - y) = 1 (Hint: Multiply first, then differentiate.) D. - ,3 X° В. y° A. С. ,3
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning