19. Let f(x, y) be a function that is differentiable everywhere. At a certain point P in the xy-plane, the directional derivative of f in the direction of 7-7 is 2 and the directional derivative 7+7 i+ is 3/2 of in the direction of What is the maximum directional derivative of f at P? A) 32 B) 432 C) 25 D) 6 E) 8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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19. Let f(x, y) be a function that is differentiable everywhere. At a certain point P in the xy-plane,
the directional derivative of f in the direction of
7-7 is 2
and the directional derivative
7+7
i+ is 3/2
of in the direction of
What is the maximum directional derivative of f at P?
A) 32
B) 432
C) 25
D) 6
E) 8
Transcribed Image Text:19. Let f(x, y) be a function that is differentiable everywhere. At a certain point P in the xy-plane, the directional derivative of f in the direction of 7-7 is 2 and the directional derivative 7+7 i+ is 3/2 of in the direction of What is the maximum directional derivative of f at P? A) 32 B) 432 C) 25 D) 6 E) 8
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Swokowski
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