For each problem, calculate the directional derivative in the given direction and the gradient vector:

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
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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