4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction of U at P. (a) f(x, y) = x² – 4y; U = cos r î + sin }r ĵ; P(-2, 2) %3D

College Algebra (MindTap Course List)
12th Edition
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...
icon
Related questions
Question
4. Find (a) the gradient of f at P and (b) the rate of change of
the function value in the direction of U at P.
(a) f(r, y) = x² – 4y; U = cos r î + sin r î; P(-2,2)
Transcribed Image Text:4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction of U at P. (a) f(r, y) = x² – 4y; U = cos r î + sin r î; P(-2,2)
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning