5. Let ƒ(x,y,z)=2xy²z² − 3xy a) Find the rate of change of ƒ (x, y,z) at P(1, 1, -2) in the direction of (1,2,2) b) Find the maximum rate of increase of ƒ(x,y,z) at P and give the direction in which this occurs.
5. Let ƒ(x,y,z)=2xy²z² − 3xy a) Find the rate of change of ƒ (x, y,z) at P(1, 1, -2) in the direction of (1,2,2) b) Find the maximum rate of increase of ƒ(x,y,z) at P and give the direction in which this occurs.
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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 25E
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