- Format: Find the directional derivative of f(x, y, z) = -4x²z - 11 xy + 2z² at P = (-3, -3, -2) in the direction of (6, -2,0). D(6,-2,0) (-3 ab sin (a) O Search • If your answer below is a vector, input it as a column vector using the vector/matrix palette tool. • Use to explicitly indicate multiplication between variables and other variables, between variables and brackets, or between sets of brackets (e.g. x*y rather than xy; 2*(x+y) rather than 2(x+y)). . Put arguments of functions in brackets (e.g. sin(x) rather than sin x). • Give your answers in exact form. ab -3,-3,-2) What is the maximum rate of increase of f at P? |vf|(-3,-3,-2) sin (a) Ə dx = ə f W ∞ f 8 a Ω a Ω Submit Assignment N Quit & Save LxXJ Back > 0 Question M 22 D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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Format:
Find the directional derivative of f(x, y, z) = -4x²z - 11 xy + 2z² at P = (-3, -3, -2) in the direction of (6,-2,0).
D(6,-2,0)| (-3,-3,-2)
O Search
• If your answer below is a vector, input it as a column vector using the vector/matrix palette tool.
• Use to explicitly indicate multiplication between variables and other variables, between variables and brackets, or between sets of
brackets (e.g. x*y rather than xy; 2*(x+y) rather than 2(x+y)).
. Put arguments of functions in brackets (e.g. sin(x) rather than sin x).
. Give your answers in exact form.
ab
sin (a)
Əə
dx
What is the maximum rate of increase of f at P?
|Vƒl(-3,-3,-2)
sin (a)
Ә
2
f
W
∞
f
8
a Ω
a
Ω
Submit Assignment
N
Quit & Save
[x]
Back
<
0
Question M
32
D
Transcribed Image Text:Format: Find the directional derivative of f(x, y, z) = -4x²z - 11 xy + 2z² at P = (-3, -3, -2) in the direction of (6,-2,0). D(6,-2,0)| (-3,-3,-2) O Search • If your answer below is a vector, input it as a column vector using the vector/matrix palette tool. • Use to explicitly indicate multiplication between variables and other variables, between variables and brackets, or between sets of brackets (e.g. x*y rather than xy; 2*(x+y) rather than 2(x+y)). . Put arguments of functions in brackets (e.g. sin(x) rather than sin x). . Give your answers in exact form. ab sin (a) Əə dx What is the maximum rate of increase of f at P? |Vƒl(-3,-3,-2) sin (a) Ә 2 f W ∞ f 8 a Ω a Ω Submit Assignment N Quit & Save [x] Back < 0 Question M 32 D
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