The directional derivative of the function f(x, y, z) = x²y° – 2z° at the point (1, 1, 1) in the direction of the vector V = (1, –2, 2) is O a) –16 b) 16 c) – 3 16 - O d) None of these

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
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The directional derivative of the function f(x, y, z) = x²y° – 2z° at the
point (1, –2, 2) is
(1,1, 1) in the direction of the vector V =
a) –16
-
16
b)
3
c)
16
-
3
d) None of these
Transcribed Image Text:The directional derivative of the function f(x, y, z) = x²y° – 2z° at the point (1, –2, 2) is (1,1, 1) in the direction of the vector V = a) –16 - 16 b) 3 c) 16 - 3 d) None of these
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