Use directional derivative definition to find derivative off(x, y) = x² + y² at the direction of ū =+j at the point(1,2). Let f be a differentiable function of one variable, and letw = f(p), where p = (x² + y² + z?)'/2. Show that() - (;) - (#) - (4)(dw+əxayazdp

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Answered: Use directional derivative definition…

Use directional derivative definition to find derivative of V3. f(x, y) = x² + y² at the direction of ū = i+;j at the point %3D %3D (1,2).

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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Question

Use directional derivative definition to find derivative of
f(x, y) = x² + y² at the direction of ū =
+j at the point
(1,2).

Let f be a differentiable function of one variable, and let
w = f(p), where p = (x² + y² + z?)'/2. Show that
() - (;) - (#) - (4)
(dw
+
əx
ay
az
dp

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