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
icon
Related questions
Question

hi please use handwriting not computer for answer 

5. Let f(x, y, z)=2xy²z² - 3xy
a) Find the rate of change of f(x, y, z) at P(1, 1, -2) in the direction of (1,2,2)
b) Find the maximum rate of increase of f(x, y, z) at P and give the direction in which this occurs.
Transcribed Image Text:5. Let f(x, y, z)=2xy²z² - 3xy a) Find the rate of change of f(x, y, z) at P(1, 1, -2) in the direction of (1,2,2) b) Find the maximum rate of increase of f(x, y, z) at P and give the direction in which this occurs.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,