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A function is defined on R2 as f(x,y) = 2x3 – 6xy + 2xy2 +2. Find any critical / stationary points for the function f. Determine if these points are local minimum, local maximum or hall point. b) Find the gradient of the function f in the point (1,1). Find the directional derivative of f at the point (1,1) in the direction of the vector [-1, -1].

A function is defined on R2 as f(x,y) = 2x3 – 6xy + 2xy2 +2. Find any critical / stationary points for the function f. Determine if these points are local minimum, local maximum or hall point. b) Find the gradient of the function f in the point (1,1). Find the directional derivative of f at the point (1,1) in the direction of the vector [-1, -1].

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Task 3 A function is defined on R2 as f(x, y) = 2x3 – 6xy + 2xy2 +2. a) Find any critical / stationary points for the function f. i. Determine if these points are local minimum, local maximum or hall point. b) Find the gradient of the function f in the point (1,1). in, Find the directional derivative of f at the point (1,1) in the direction of the vector [-1, -1].
Transcribed Image Text:Task 3 A function is defined on R2 as f(x, y) = 2x3 – 6xy + 2xy2 +2. a) Find any critical / stationary points for the function f. i. Determine if these points are local minimum, local maximum or hall point. b) Find the gradient of the function f in the point (1,1). in, Find the directional derivative of f at the point (1,1) in the direction of the vector [-1, -1].
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