True or False? Brief explanation. а. If f : R? →R is differentiable at all points, and f has a local minimum at the point A, then for any unit vector u, we must have Duf(A) > 0. b. Let S be a bounded, oriented surface in R. If F is a vector field in R and F|| > 0 at all points of S, then f F dS will be positive.
True or False? Brief explanation. а. If f : R? →R is differentiable at all points, and f has a local minimum at the point A, then for any unit vector u, we must have Duf(A) > 0. b. Let S be a bounded, oriented surface in R. If F is a vector field in R and F|| > 0 at all points of S, then f F dS will be positive.
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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