Let f(x, y) = sih(x) + cas (y), v=<-1₁17₁ and P= (0, 1) Let u be a unit vector in the direction of vi Select ALL that are true A. The derivative of f in the direction of v at P is positive: DufCP) >0. B. The maximum rate of change of f at P is in the direction v = (-1₁1), c. The maximum rate of change of f at P is in the direction -V= (1₁-1), The maximum rate of change of fat P is in the direction of Df (P), enough in formation to determine the maximum rate of change of fat P. Ei We do not have

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Question
I
Let f(x,y)= sin(x) + cos (y), v=<-1₁17₁
and P= (0, 1)
Let u be a unit vector in the direction
of vi
Select ALL that are true!
7
A
1
• The derivative of f in the direction
of v at P is positive: DufCP) >0.
B. The maximum rate of change of
f at P is in the direction
V= (-1₁1),
c. The maximum rate of change
f at P is in the direction
1,-1)
D
-V=
J
of
The maximum rate of change of
fat P is in the direction of
Df (P),
E We do not have enough
in formation to enough the
maximum rate of change of
f at P.
1
Transcribed Image Text:I Let f(x,y)= sin(x) + cos (y), v=<-1₁17₁ and P= (0, 1) Let u be a unit vector in the direction of vi Select ALL that are true! 7 A 1 • The derivative of f in the direction of v at P is positive: DufCP) >0. B. The maximum rate of change of f at P is in the direction V= (-1₁1), c. The maximum rate of change f at P is in the direction 1,-1) D -V= J of The maximum rate of change of fat P is in the direction of Df (P), E We do not have enough in formation to enough the maximum rate of change of f at P. 1
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