18. Find dy/dx by implicit differentiation.

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 8E
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18. Find dy/dx by implicit differentiation.
a.
b.
C.
d.
y':
||
dy/dx =
y':
11
x²(x + y) = y²(6x - y)
x²y2 + x sin(y) = 7
exly = 7x- y
dy/dx =
7sin x + cos y = sin x cos y
Transcribed Image Text:18. Find dy/dx by implicit differentiation. a. b. C. d. y': || dy/dx = y': 11 x²(x + y) = y²(6x - y) x²y2 + x sin(y) = 7 exly = 7x- y dy/dx = 7sin x + cos y = sin x cos y
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ISBN:
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Pearson Addison Wesley,