3. Let f : R" → R be defined by f(x) = }||x||². Compute the following: a) Vf(x) b) The directional derivative Duf(x), where u = (1/)(1, 1, ..., 1). (Note that u has been scaled so that it is a unit vector.)
3. Let f : R" → R be defined by f(x) = }||x||². Compute the following: a) Vf(x) b) The directional derivative Duf(x), where u = (1/)(1, 1, ..., 1). (Note that u has been scaled so that it is a unit vector.)
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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Transcribed Image Text:3. Let f : R" → IR be defined by f(x) = ||x||?. Compute the following:
a) Vf(x)
b) The directional derivative Duf(x), where u =
has been scaled so that it is a unit vector.)
(1//n) (1, 1, ..., 1). (Note that u
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