Question: Consider the function f(x, y) = 4x2 -4y Find the the directional derivative of f at the point (-4, -2) in the direction given by

Consider the function f(x, y) = 4x2 -4y Find the the directional derivative of f at the point (-4, -2) in the direction given by the angle 0 = IT . Find the vector which describes the direction in which f is increasing most rapidly at (-4, -2)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

P Program: 2023-2024 Academi x SOC 31000-014 TERM PAPER > @ Homepage - Purdue West Lafe X (145) YouTube X LON-CAPA HW 18:Con_IP_2nc X + C...

Consider the function f(x,y) = x* - x y + 4y~ + 3 and the point P( - 1,3). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points...

solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks. 1. [-/1 Points] DETAILS SCALCET9 14.6.004.EP. Consider the following. f(...

12. \f9-18. Chain Rule with one independent variable Use Theorem 15.7 to find the following derivatives.12. Directional derivatives Consider the function f (x, y) = 2x2 + 322, Whose graph is a...

(1 point) Consider the function f (at, y) : .'L'2 + 2992. Find the directional derivative of f at the point (3, 2) in the direction given by the angle q : g . (Here (35 is the polar angle -- the...

calculus : please edit answers to image to make it as least confusing as possible or copy the format 2. f(x) = Vx3 - 12x The following is a Free Response Practice to go with Question 2 on the...

MATH 1P97, WINTER 2016-17 ASSIGNMENT 3 Due Date: Monday March 6, 2017 at 11:59 p.m. Home assignments are individual submissions. While students are encouraged to work together, they cannot submit...

1) Consider the function f (x) = 22:3 62:2 18:1: + 51.5uchthata: 6 [~2, 5] Which of the following statements is incorrect/false? The maximum value of f is 61. :1: = 1 is a critical point of f. a: = 3...

Consider the function f ( x) = tan -1( tan x ). Then f (0) =f (x) =0. Your professor claims that by the Mean Value Theorem, there is a number con (0, x) such that f(c) =0. (a) Prove your professor...

ninth Lujwuinwang - NEWS.am Cengage [-/12.5 Points] DETAILS SCALCETOM 14.6:004.EP. Consider the following. f ( x, y) = xy3 - x2 Find the partial derivatives. f ( x, y) = fy ( x, y ) = Find the...

Refer to the administrative budget of Victorias Gourmet Coffee in Exhibit 9.6. Prepare a flexible administrative cost budget for the period, assuming that production and sales were 80,000 units. Is...

For this week's reflection, explain how financial statements (income statement, statement of owner's equity, balance sheet, and statement of cash flows) are useful to the business owner, employees,...

a roofer, fell from the roof on the construction site where he was working, leaving him in a coma. As a result of his injuries, he was unable to assist his wife with household duties, and he was...

Which factors should you prioritize in a "Place" strategy when aiming to reach a resistant audience? Reducing product pricing Increasing advertising frequency Minimizing travel and convenience...

DCF, accounting rate of return, working capital, evaluation of performance. (20-30 minutes) Meer has been offered a special-purpose metal-cutting machine for EUR 110,000. The machine is expected to...

Question from the Chartered Association of Certified Accountants, Professional Stage Module E, December 1995. (60 minutes) A company is considering the improvement of the lighting system in one of...

Comparison of projects with unequal lives. (20-30 minutes) The manager of the Robin Hood Company is considering two investment projects that are mutually exclusive. The after-tax required rate of...