Find the derivatives of the following multivariate functions. Justify your answers. (a) f(x) = u'x+c, with u, x E R" and e E R. (b) f(x) = Ax, with A E RmXn and r E R". (c) f(x) = ||x|| = z'x, with a E R".
Find the derivatives of the following multivariate functions. Justify your answers. (a) f(x) = u'x+c, with u, x E R" and e E R. (b) f(x) = Ax, with A E RmXn and r E R". (c) f(x) = ||x|| = z'x, with a E R".
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:Find the derivatives of the following multivariate functions. Justify your answers.
(a) f(x) = uTa+ c, with u, x E R" and c ER.
%3D
(b) f(x) = A, with A E RmX×" and r e R".
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(c) f(x) = ||x||? = x'x, with r E R".
%3D
%3D
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