73°FCloudyConsider the following.f(x, y, z) == x²yz - xyz5,(a) Find the gradient of f.Vf(x, y, z) =(b) Evaluate the gradient at the point P.Vf(3, -1, 1) =Need Help?P(3,-1, 1),Read It(c) Find the rate of change of f at P in the direction of the vector u.Duf(3, -1, 1) =U =Watch It4H

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Answered: Consider the following. f(x, y, z) =…

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

Section4.2: Derivatives Of Products And Quotients

Problem 9E

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Consider the following. f(x, y, z) = x²yz - xyz5, P(3, -1, 1), (a) Find the gradient of f. Vf(x, y, z) = (b) Evaluate the gradient at the point P. Vf(3, -1, 1) = U= (c) Find the rate of change of f at P in the direction of the vector u. Duf(3, -1, 1) =