Suppose f (x, y) = 4, P = (3, 1) and v = 4i + 4j. A. Find the gradient of f. Vf = i+ j Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) = i+ j Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. Duf = Note: Your answer should be a number D. Find the maximum rate of change off at P. Note: Your answer should be a number E. Find the (unit) direction vector in which the maximum rate of change occurs at P. u = it j Note: Your answers should be numbers

Suppose f (x, y) = 4, P = (3, 1) and v = 4i + 4j. A. Find the gradient of f. Vf = i+ j Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) = i+ j Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. Duf = Note: Your answer should be a number D. Find the maximum rate of change off at P. Note: Your answer should be a number E. Find the (unit) direction vector in which the maximum rate of change occurs at P. u = it j Note: Your answers should be numbers

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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