Let f(x,y) = x² − xy + y² − y. Find the directions u and the values of Df(1, -1) for which the following is true. b. Duf(1,-1) is smallest a. Duf(1,-1) is largest c. Duf(1,-1)=0 d. Duf(1,-1)=4 e. Duf(1,-1) = -3 a. Find the direction u and the value of Duf(1,-1) for which Duf(1,-1) is largest.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...
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Let f(x,y) = x² - xy + y² − y. Find the directions u and the values of Df(1,-1) for which the following is true.
b. Duf(1,-1) is smallest
d. Duf(1,-1)=4
a. Duf(1,-1) is largest
c. Duf(1,-1)=0
e. Duf(1,-1)=-3
a. Find the direction u and the value of Duf(1,-1) for which Duf(1,-1) is largest.
u=
Transcribed Image Text:Let f(x,y) = x² - xy + y² − y. Find the directions u and the values of Df(1,-1) for which the following is true. b. Duf(1,-1) is smallest d. Duf(1,-1)=4 a. Duf(1,-1) is largest c. Duf(1,-1)=0 e. Duf(1,-1)=-3 a. Find the direction u and the value of Duf(1,-1) for which Duf(1,-1) is largest. u=
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