Find the directional derivative of the function at the point P(2,1) in the following direction:  f(x,y) = 3x2y-2xy2+y3-9 In the direction v->=3i-> - 5j-> a) Duf(2,1) =-5 b) Duf(2,1)= - sqrt(13)/13   c) Duf(2,1) = -1  d) Duf(2,1)= -(5sqrt(34))/34

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...
Question

 

Find the directional derivative of the function at the point P(2,1) in the following direction: 

f(x,y) = 3x2y-2xy2+y3-9

In the direction v->=3i-> - 5j->

a) Duf(2,1) =-5

b) Duf(2,1)= - sqrt(13)/13  

c) Duf(2,1) = -1 

d) Duf(2,1)= -(5sqrt(34))/34

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