Assuming that the equation below defines y as a differentiable function of x, find the value of dy/dx at the given point. 2x² + xy + 3y² - 16 = 0, (1,2) dy dx (1,2) 용 = (Type an integer or a simplified fraction.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...
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Assuming that the equation below defines y as a differentiable function of x, find the value of dy/dx at the given point.
2x² + xy + 3y² - 16 = 0, (1,2)
dy
dx (1,2)
(Type an integer or a simplified fraction.)
Transcribed Image Text:Assuming that the equation below defines y as a differentiable function of x, find the value of dy/dx at the given point. 2x² + xy + 3y² - 16 = 0, (1,2) dy dx (1,2) (Type an integer or a simplified fraction.)
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