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) =
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) =
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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