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f(x, y, z) = –0.75x*y°z² %3D a) Compute V f. Vf = ( b) Find the derivative of f at the point P( – 1, – 1, – 1) in the direction of й 3 (- 2, — 2, — 1) %3D fu( – 1, – 1, – 1) = | c) In which direction is the largest directional derivative? Please give a unit vector in this direction.

f(x, y, z) = –0.75x*y°z² %3D a) Compute V f. Vf = ( b) Find the derivative of f at the point P( – 1, – 1, – 1) in the direction of й 3 (- 2, — 2, — 1) %3D fu( – 1, – 1, – 1) = | c) In which direction is the largest directional derivative? Please give a unit vector in this direction.

Calculus For The Life Sciences
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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 44E
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In this question please round any answers to the nearest hundredth if necessary. 432 f(x, y, z) = -0.75x*y°z² a) Compute V f. Vf = ( b) Find the derivative of f at the point P( – 1, – 1, – 1) in the direction of й 3 ( - 2, — 2, — 1) fu( – 1, – 1, – 1) = | c) In which direction is the largest directional derivative? Please give a unit vector in this direction. U max d) What is the largest (nonnegative) directional derivative at the point P ? fumax (– 1, – 1, – 1) = |
Transcribed Image Text:In this question please round any answers to the nearest hundredth if necessary. 432 f(x, y, z) = -0.75x*y°z² a) Compute V f. Vf = ( b) Find the derivative of f at the point P( – 1, – 1, – 1) in the direction of й 3 ( - 2, — 2, — 1) fu( – 1, – 1, – 1) = | c) In which direction is the largest directional derivative? Please give a unit vector in this direction. U max d) What is the largest (nonnegative) directional derivative at the point P ? fumax (– 1, – 1, – 1) = |
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