Use the gradient to find the directional derivative of the function at P in the direction of Q f(x, y)=sin(3x)cosy, P(0, 0), 3 √10 T 0), Q[T, 17] 1 √10 O л(sin(3x)cosy — cos(3x)siny) 7(cos(3x)cosy-sin(3x)siny)
Use the gradient to find the directional derivative of the function at P in the direction of Q f(x, y)=sin(3x)cosy, P(0, 0), 3 √10 T 0), Q[T, 17] 1 √10 O л(sin(3x)cosy — cos(3x)siny) 7(cos(3x)cosy-sin(3x)siny)
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:Use the gradient to find the directional derivative of the function at P in the direction of Q
f(x, y) = sin(3x)cosy, P(0, 0), Q
3
O
3
οπ
O
10
1
√√10
Oπ(sin(3x)cosy-cos(3x)siny)
O π(cos(3x)cosy - sin(3x)siny)
T
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