I’m not sure where to start with this one. Find the unit vector first? Then from there, find where that is minimized? Thanks! 3x'y². 4 6(35-t)(As+2€)'+ 12 (35-t)*(45s424)22.-1+ 5g.2 →(2(33-6)(43+24)), し(3-6)"(4わ2)2 xy3 +6. Find the unit vector for which the directional derivative Duf(x,y) of f(x,y) =3x2 + 4y2 at the point (-1,1) is minimized.

Answered: Image /qna-images/answer/222e8232-8245-4d03-aaf4-bbf21aa868aa.jpg

Answered: 6. Find the unit vector for which the…

6. Find the unit vector for which the directional derivative Duf(x,y) of f(x,y) = %3D 3x2 + 4y2 at the point (-1,1) is minimized.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

I’m not sure where to start with this one. Find the unit vector first? Then from there, find where that is minimized? Thanks!

3x'y². 4 6(35-t)(As+2€)'+ 12 (35-t)*(45s424)
22.-1+ 5g.2 →(2(33-6)(43+24)), し(3-6)"(4わ2)
2 xy
3 +
6. Find the unit vector for which the directional derivative Duf(x,y) of f(x,y) =
3x2 + 4y2 at the point (-1,1) is minimized.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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