216 CHAPTER 3 Differentiation Rules 35-38 Find y" by implicit differentiation. fi 35. x² + 4y2 = 4 36. x² + xy + y² = 3 ti 37. sin y + cos x = 1 38. x- y' = 7 49-60 39. If xy + e = e, find the value of y" at the point where possibl X = 0. 49. y 40. If x2 + xy + y'= 1, find the value of y" at the point 51. y = where x = 1. 53. F( CAS 41. Fanciful shapes can be created by using the implicit plotting capabilities of computer algebra systems. (a) Graph the curve with equation 54. y = 27
216 CHAPTER 3 Differentiation Rules 35-38 Find y" by implicit differentiation. fi 35. x² + 4y2 = 4 36. x² + xy + y² = 3 ti 37. sin y + cos x = 1 38. x- y' = 7 49-60 39. If xy + e = e, find the value of y" at the point where possibl X = 0. 49. y 40. If x2 + xy + y'= 1, find the value of y" at the point 51. y = where x = 1. 53. F( CAS 41. Fanciful shapes can be created by using the implicit plotting capabilities of computer algebra systems. (a) Graph the curve with equation 54. y = 27
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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Transcribed Image Text:216
CHAPTER 3 Differentiation Rules
35-38 Find y" by implicit differentiation.
fi
35. x² + 4y2 = 4
36. x² + xy + y² = 3
ti
37. sin y + cos x = 1
38. x- y' = 7
49-60
39. If xy + e = e, find the value of y" at the point where
possibl
X = 0.
49. y
40. If x2 + xy + y'= 1, find the value of y" at the point
51. y =
where x = 1.
53. F(
CAS 41. Fanciful shapes can be created by using the implicit plotting
capabilities of computer algebra systems.
(a) Graph the curve with equation
54. y =
27
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