(a) Assume that f : R → R is differentiable. Prove that the directional derivative at x in the direction of a unit vector v is Vf(x) - v. (b) Using part (a), compute the directional derivative of f in the following case: 12 f(r, y, 2) = 1", x= (e, e, 0), v =i+j +k +13 13 13
(a) Assume that f : R → R is differentiable. Prove that the directional derivative at x in the direction of a unit vector v is Vf(x) - v. (b) Using part (a), compute the directional derivative of f in the following case: 12 f(r, y, 2) = 1", x= (e, e, 0), v =i+j +k +13 13 13
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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