Given x + xy – 2x = 3 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx dy from that dx (b) Solve the equation for y as a function of x, and find equation. y = dy dx (c) Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone. dy dx

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 18E
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Given x° + y
2x = 3 :
dy
by differentiating implicitly. Do not substitute for
dx
(а) Find
y.
dy
dx
dy
from that
dx
(b) Solve the equation for y as a function of
X,
and find
equation.
dy
dx
(c) Confirm that the two results are consistent by expressing the
derivative in part (a) as a function of x alone.
dy
dx
||
Transcribed Image Text:Given x° + y 2x = 3 : dy by differentiating implicitly. Do not substitute for dx (а) Find y. dy dx dy from that dx (b) Solve the equation for y as a function of X, and find equation. dy dx (c) Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone. dy dx ||
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