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) = In (8+x +y'); P(- 1,1): (1,1) The directional derivative is. (Type an exact answer, using radicals as needed.)

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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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) = In (8+x +y'); P(- 1,1): (1,1)
The directional derivative is
(Type an exact answer, using radicals as needed.)
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. f(x.y) = In (8+x +y'); P(- 1,1): (1,1) The directional derivative is (Type an exact answer, using radicals as needed.)
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