For each problem, calculate the directional derivative in the given direction and the gradient vector:
For each problem, calculate the directional derivative in the given direction and the gradient vector:
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:For each problem, calculate the directional derivative in the given direction and the gradient vector:
a) z = x3 + y3 – 3xy; P(2,1); 0 = arctan (-)
b) z = y + x cos xy; P(0,0); 0
=
c) z = : 2x² + 3xy - y²; P(1, -1); pointing at point Q(2,1)
3
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