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Problem 3: Given the function For given vectors f(x, y, z)= xy² - x²z+yz². v = (1,2,3), u:= (-1,1,-1)", w:= (1, -2,-1)", Compute the following value D³ f(x, y, z) (v, u, w) of the third derivative of f at the point (x, y, z) on (u, v, w) E R³ x R³ x R³.

Problem 3: Given the function For given vectors f(x, y, z)= xy² - x²z+yz². v = (1,2,3), u:= (-1,1,-1)", w:= (1, -2,-1)", Compute the following value D³ f(x, y, z) (v, u, w) of the third derivative of f at the point (x, y, z) on (u, v, w) E R³ x R³ x R³.

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 30E
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Problem 3: Given the function For given vectors f(x, y, z) = xy²x²z+yz². v := (1,2,3), u:= (-1,1,-1)", w:= (1, -2, -1), Compute the following value D³ f(x, y, z) (v, u, w) of the third derivative of f at the point (x, y, z) on (u, v, w) ER³ x R³ x R³.
Transcribed Image Text:Problem 3: Given the function For given vectors f(x, y, z) = xy²x²z+yz². v := (1,2,3), u:= (-1,1,-1)", w:= (1, -2, -1), Compute the following value D³ f(x, y, z) (v, u, w) of the third derivative of f at the point (x, y, z) on (u, v, w) ER³ x R³ x R³.
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