5. If the gradient of f(r, y) at (1,2) is 2i – 2j, then the maximum and minimum values for a directional derivative of f at (1, 2) are respectively A. 2/2 and -2 B. -2/2 and v2 C. 2/2 and 2/2 D. 2/2 and -2/2
5. If the gradient of f(r, y) at (1,2) is 2i – 2j, then the maximum and minimum values for a directional derivative of f at (1, 2) are respectively A. 2/2 and -2 B. -2/2 and v2 C. 2/2 and 2/2 D. 2/2 and -2/2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5. If the gradient of f(r, y) at (1, 2) is 2i – 2j, then the maximum and minimum values for a directional
derivative of f at (1, 2) are respectively
A. 2/2 and -V2 B. -2/2 and v2 C. 2/2 and 2/2 D. 2/2 and -2v2
6. Suppose the second-order partial derivatives of the function f(r, y) exists at thr critical point (0,0).
Which of the following one is true for the critical point to be maximum?
A. frr (0,0) = 2 fyy (0,0) = 2 and rry(0,0) = 4
C. frz (0,0) = 4 fyy(0,0) = 4 and Iry(0,0) = 4
B. frz (0,0) = 2 fyy (0,0) = 2 and rry(0,0) = 2
D. frz(0,0) = -4 fyy (0,0) = -4 and rry(0,0) = 4
%3D
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