Consider the function g(x, y) = x² + xy + y² (1 + 1/2t, 2 + V3/2t), use the (a) Given the line l(t) chain rule to compute (g o l)’(0). (b) Compute the derivative of g(x, y) in the (1/2, V3/2) direction at the point (1, 2).

Consider the function g(x, y) = x² + xy + y² (1 + 1/2t, 2 + V3/2t), use the (a) Given the line l(t) chain rule to compute (g o l)’(0). (b) Compute the derivative of g(x, y) in the (1/2, V3/2) direction at the point (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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Consider the function
g(x, y) = x² + xy +y?
(a) Given the line l(t)
chain rule to compute (gol)’(0).
(b) Compute the derivative of g(x, y) in the (1/2, v3/2)
direction at the point (1, 2).
(1 + 1/2t, 2 + V3/2t), use the
X.

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