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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 60E

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Question 13
Let f (x, y, z) be a function such that :
(i) the function f (x, y, z) decreases most rapidly at the point P(1, 1, 1) in
the direction of the vector (8, -4,-1).
(ii) the Maximum rate of change of f (x, y, z) at the point P is 18.
Find the directional derivative of f (x, y,z) at the point P in the direction
from the point P towards the point Q(3, 0, 3).
Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc.

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