The derivaive of f(x, y, z) at a point P is greatest in the direction given by v=-2i - 2j+2k. In this direction, the value of the derivative is 3√/3. a. Find Vflp. Vf|p= sin (a) ə sin (a) əx ə f əx 8 b. Find the directional derivative of f at P in the direction given by v = 30j +29k. D+ƒ(P) = ab f 8 a Ω a Ω

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 3CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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The derivaive of f(x, y, z) at a point P is greatest in the direction
given by
v=-2i - 2j+2k.
In this direction, the value of the derivative is 3√/3.
a. Find Vflp.
Vf|p=
sin (a)
ab
ə
sin (a)
əx
b. Find the directional derivative of f at P in the direction given
by v = 30j +29k.
D+ƒ(P) =
Ә
f
əx
∞
f
α Ω
a Ω
Transcribed Image Text:The derivaive of f(x, y, z) at a point P is greatest in the direction given by v=-2i - 2j+2k. In this direction, the value of the derivative is 3√/3. a. Find Vflp. Vf|p= sin (a) ab ə sin (a) əx b. Find the directional derivative of f at P in the direction given by v = 30j +29k. D+ƒ(P) = Ә f əx ∞ f α Ω a Ω
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