Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 47CR
Related questions
Question
3.5-Number 28, please
![Rules
25. xy2 - x³y + 2xy³ = 0
Answer
26. y sec x= x tan y
27, 28, 29, 30, 31, 32, 33, 34, 35, and 36 Use implicit differentiation to find an equation of the tangent
line to the curve at the given point.
27. yesin = x cos y, (0, 0)
Answer
28. tan(x + y) + sec(x - y) = 2, (π/8, π/8)
29. x²/3+2/3 = 4, (-3√3, 1) (astroid)
Answer
30. y² (6-x) = x³, (2, √2) (cissoid of Diocles)
31. x² - xy-y² = 1, (2, 1) (hyperbola)
Answer
32. x² + 2xy + 4y² = 12, (2, 1) (ellipse)
AA](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c1d0d01-ade3-4f63-bcf8-3821e33828ca%2F84031937-53c2-48a9-8cab-cbcadd1822a2%2Fblgnivm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Rules
25. xy2 - x³y + 2xy³ = 0
Answer
26. y sec x= x tan y
27, 28, 29, 30, 31, 32, 33, 34, 35, and 36 Use implicit differentiation to find an equation of the tangent
line to the curve at the given point.
27. yesin = x cos y, (0, 0)
Answer
28. tan(x + y) + sec(x - y) = 2, (π/8, π/8)
29. x²/3+2/3 = 4, (-3√3, 1) (astroid)
Answer
30. y² (6-x) = x³, (2, √2) (cissoid of Diocles)
31. x² - xy-y² = 1, (2, 1) (hyperbola)
Answer
32. x² + 2xy + 4y² = 12, (2, 1) (ellipse)
AA
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