The directional derivative of f(x, y) = -xe²y – x³y at the point (0, 4) in the direction of the vector < 2, -1 > equals to: Select one: ○ -2e4 O 0 O -1 O None of them O -2e8 √5

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 7E
Question
The directional derivative of
f(x, y) = -xe²y – x³y at the point (0,4) in the
direction of the vector < 2, -1 > equals to:
Select one:
-2e4
√2
0
-1
None of them
-2e8
√5
Transcribed Image Text:The directional derivative of f(x, y) = -xe²y – x³y at the point (0,4) in the direction of the vector < 2, -1 > equals to: Select one: -2e4 √2 0 -1 None of them -2e8 √5
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