Compute the directional derivative of the following function at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector. 2 3 √13√13 2 f(x,y)=√16-x²-4y; P(4,-4); Find the gradient of f(x,y)=√16-x-4y. Vf(x,y)=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
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Compute the directional derivative of the following function at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector.
2
(√73 -√73)
13
13
2
f(x,y)=√16-x - 4y; P(4,-4);
-²-4y.
Find the gradient of f(x,y)=√16-x-
Vf(x,y)= (00
Transcribed Image Text:Compute the directional derivative of the following function at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector. 2 (√73 -√73) 13 13 2 f(x,y)=√16-x - 4y; P(4,-4); -²-4y. Find the gradient of f(x,y)=√16-x- Vf(x,y)= (00
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