The point (1, 4) lies on the curve 3xy + x²y = 16. Using implicit -2xy-3y 3x+x2 differentiation we get the formulay' = for the slope of the curve at a given point. What is the slope of the curve at the point (1, 4)? [Give just the numerical value of the slope.]

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 3E
Question
3xy + xy = 16. Using implicit
-2ху-Зу
3x+x?
The point (1, 4) lies on the curve
differentiation we get the formulay
for the slope of the curve at a
given point. What is the slope of the curve at the point (1, 4)? [Give just the
numerical value of the slope.]
Transcribed Image Text:3xy + xy = 16. Using implicit -2ху-Зу 3x+x? The point (1, 4) lies on the curve differentiation we get the formulay for the slope of the curve at a given point. What is the slope of the curve at the point (1, 4)? [Give just the numerical value of the slope.]
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