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
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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 27E: Find derivatives of the functions defined as follows. y=34x2+2
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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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