Find df and dxo f , and write (dxo f )(X – Xo). (a) f(x, y) = x³ + 4xy² + 2xy sin x, Xo = (0, –2) (b) ƒ(x, y, z) = e-(x+y+z), Xo = (0,0,0) 18.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find df and dxo f , and write (dxo ƒ )(X – Xo).
(a) f(x, y) = x³ + 4xy² + 2xy sin x, Xo = (0, –2)
(b) f(x, y, 2) %3е (*+у+2), Хо 3 (0,0, 0)
(c) f(X) = log(1 + x1 + 2x2 + 3x3 + . .+ nxn), Xo
(d) f(X) = |X|2r, Xo = (1, 1, 1, ..., 1)
18.
+ пх,), Хо 0
...
Transcribed Image Text:Find df and dxo f , and write (dxo ƒ )(X – Xo). (a) f(x, y) = x³ + 4xy² + 2xy sin x, Xo = (0, –2) (b) f(x, y, 2) %3е (*+у+2), Хо 3 (0,0, 0) (c) f(X) = log(1 + x1 + 2x2 + 3x3 + . .+ nxn), Xo (d) f(X) = |X|2r, Xo = (1, 1, 1, ..., 1) 18. + пх,), Хо 0 ...
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