A community for students.
Here's the question you clicked on:
 0 viewing
allsmiles
 2 years ago
Give the unit vector that has the direction of maximum increase of the function .
f(x, y) at the location (−2, 1). For f(x,y)=x^2+2y^2y
allsmiles
 2 years ago
Give the unit vector that has the direction of maximum increase of the function . f(x, y) at the location (−2, 1). For f(x,y)=x^2+2y^2y

This Question is Closed

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1you will need the gradient first I think

allsmiles
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah is the answer not the gradient divided by the mag?

allsmiles
 2 years ago
Best ResponseYou've already chosen the best response.0to get the unit vector? Since the max increase is in the same direction as the gradient?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1yes, it should be gradient divided by magnitude

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1well, the gradient is the maximum direction of change; could be increase or decrease

allsmiles
 2 years ago
Best ResponseYou've already chosen the best response.0so how do you know if it's increase or decrease?

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1I'm actually not too sure in this case. You could do it with multivariable max/min techniques if you know them.

allsmiles
 2 years ago
Best ResponseYou've already chosen the best response.0alright man thanks for your help much appreciated
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.