Find the gradient of the function g(x,y) = xy² at the point (2, -4). Then sketch the gradient together with the level curve that passes through the point. First find the gradient vector at (2, -4). Vg(2, -4)=i+(j (Simplify your answers.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
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Find the gradient of the function g(x,y) = xy² at the point (2, -4). Then sketch the gradient together with the
level curve that passes through the point.
First find the gradient vector at (2, -4).
Vg(2, -4)=i+() (Simplify your answers.)
Transcribed Image Text:Find the gradient of the function g(x,y) = xy² at the point (2, -4). Then sketch the gradient together with the level curve that passes through the point. First find the gradient vector at (2, -4). Vg(2, -4)=i+() (Simplify your answers.)
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