Consider the following.f(x, y) = x² In(y), P(2, 1), u = –(a) Find the gradient of f.Vf(x, y) =(b) Evaluate the gradient at the point P.Vf(2, 1) =113231+33185-j(c) Find the rate of change of f at P in the direction of the vector u.Duf(2, 1) =

Answered: Consider the following. f(x, y) = x²…

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 following. f(x, y) = x² In(y), P(2, 1), u = - (a) Find the gradient of f. Vf(x, y) = (b) Evaluate the gradient at the point P. Vf(2, 1) = + (c) Find the rate of change off at P in the direction of the vector u. Duf(2, 1) =