Answered: (a) Let f(x,y) = x² – 5xy. (i) Find the…

(a) Let f(x,y) = x² – 5xy. (i) Find the directional derivative at (2, 1) in the direction of i = -i + 3j. (ii) Find the equation of the tangent plane on f(x,y) at (2, 1).

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

Q3.
(a)
Let f(x,y) = x² – 5xy.
(i)
Find the directional derivative at (2, 1) in the direction of i = -i + 3j.
(ii)
Find the equation of the tangent plane on f(x,y) at (2, 1).

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