Suppose that the directional derivative of a function f at a point P in the direction of the vector u = (-1,0) is -. Relate this 4 value to the behaviour of f. A. From the point P, the function f is increasing at a rate of in the positive x-direction. B. From the point P, the function f is increasing at a rate of - in the positive y-direction. C. From the point P, the function f is decreasing at a rate of in the negative y-direction.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Suppose that the directional derivative of a function f at a point Pin the direction of the vector ū = (-1,0) is -
Relate this
4
value to the behaviour of f.
A. From the point P, the function f is increasing at a rate of - in the positive x-direction.
B. From the point P, the function f is increasing at a rate of - in the positive y-direction.
C. From the point P, the function f is decreasing at a rate of - in the negative y-direction.
Transcribed Image Text:Suppose that the directional derivative of a function f at a point Pin the direction of the vector ū = (-1,0) is - Relate this 4 value to the behaviour of f. A. From the point P, the function f is increasing at a rate of - in the positive x-direction. B. From the point P, the function f is increasing at a rate of - in the positive y-direction. C. From the point P, the function f is decreasing at a rate of - in the negative y-direction.
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