Find the gradient of the function f(x, y) = x²y+y³. Vf(x, y) = xî+ (x + 3y²) ĵ ○ ▼ f(x, y) = xyî + (x² + 3y²) ĵ Vf(x, y) = 2xyî+ (x² + 3y²) ĵ Vf(x, y) = xî+ (3y²) Ĵ

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Find the gradient of the function f(x, y) = x²y+y³.
Vf(x, y) = xî+ (x + 3y²) ĵ
○ ▼ f(x, y) = xyî + (x² + 3y²) ĵ
Vf(x, y) = 2xyî+ (x² + 3y²) ĵ
Vf(x, y) = xî+ (3y²) Ĵ
Transcribed Image Text:Find the gradient of the function f(x, y) = x²y+y³. Vf(x, y) = xî+ (x + 3y²) ĵ ○ ▼ f(x, y) = xyî + (x² + 3y²) ĵ Vf(x, y) = 2xyî+ (x² + 3y²) ĵ Vf(x, y) = xî+ (3y²) Ĵ
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