Let the function y(x) be given implicitly via the equation xy – In y = 2. Determine the value of its derivative at the point x = 2. (There are two values of y corresponding to x = 2. Choose the on that can be found explicitly.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
Question
Let the function y(x) be given implicitly via the equation
xy – In y = 2.
Determine the value of its derivative at the point x = 2.
dy
dx
(There are two values of y corresponding to x = 2. Choose the one
that can be found explicitly.)
Transcribed Image Text:Let the function y(x) be given implicitly via the equation xy – In y = 2. Determine the value of its derivative at the point x = 2. dy dx (There are two values of y corresponding to x = 2. Choose the one that can be found explicitly.)
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