(a) Find the derivative of fix. y. 2) = x-xy-z at P1, 1,0) in the direction of v = 2i- 3j + 6k. (b) In what directions does f change most rapidly at P. and what are the rates of change in these directions?

(a) Find the derivative of fix. y. 2) = x-xy-z at P1, 1,0) in the direction of v = 2i- 3j + 6k. (b) In what directions does f change most rapidly at P. and what are the rates of change in these directions?

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.CR: Chapter 9 Review

Problem 54CR

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EXAMPLE 6
(a) Find the derivative of fix. y.2) = x- ry -z at P(1, 1,0) in the direction of
v = 2i - 3j + 6k.
(b) In what directions does f change most rapidly at P. and what are the rates of change
in these directions?

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