Definition 3.40 If f is a function of three variables a, y and z such thatfs, Jy and f; exist, then the gradient of f, denoted by Vj, is given byHence, Dyf(1. y, 2) = U - V/(r, y, 2). Similarly |Vf(, ; ) vsthe maximum value of D÷f at the point (r, y, 2).12EXERCISE 4Find Vf(P) and D7f(P).(a) f(r,y, 2) = y7 + ² – 4rz; Ū = } i – { j+ } k; P(-2,1,3)

Given function f(x,y,z)=y2+z2-4xzPoint p=(-2,1,3)and vector U→=27,-67,37

Answered: EXERCISE 4 Find Vƒ(P) and Djf(P). (a)…

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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EXERCISE 4 Find Vƒ(P) and Djf(P). (a) f(1,y, 2) = y7 + 2² – 4rz; Ū = } i - { j+ } k; P(-2,1,3)