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. f(x,y)=√16-x²-4y; P(4,-4); 2 13 Find the gradient of f(x,y)=√16-x²-4y. Vf(x,y)= =00 T 3 13 www.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
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Help with the following question a) Find the gradient of f(x,y) b) find The directional derivative.
www
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.
f(x,y)=√16-x²-4y; P(4,-4);
Find the gradient of f(x,y)=√
Vf(x,y) =
=√16-x²-4y.
2 3
√13
tv
MacBook Air
13
A
Clear all
Check answer
Transcribed Image Text:www 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. f(x,y)=√16-x²-4y; P(4,-4); Find the gradient of f(x,y)=√ Vf(x,y) = =√16-x²-4y. 2 3 √13 tv MacBook Air 13 A Clear all Check answer
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