2. Suppose a smooth function f(x,y) has known values given in the table as shown. (x) - 1.5 -1.0 -0.5 2.0 3 2 2 (y) 1.5 4 3.5 2.5 1.0 1.5 2.5 3 Estimate the partial derivates of f with respect to x and with respect to y at x = -1.0 and y = 1.0. Give as many estimates as you can.

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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2. Suppose a smooth function f(x,y) has known values given in the table as shown.
(x)
- 1.5
-1.0
-0.5
2.0
3
2
2
(y)
1.5
4
3.5
2.5
1.0
1.5
2.5
3
Estimate the partial derivates of f with respect to x and with respect to y at x = -1.0 and y
Give as many estimates as you can.
= 1.0.
Transcribed Image Text:2. Suppose a smooth function f(x,y) has known values given in the table as shown. (x) - 1.5 -1.0 -0.5 2.0 3 2 2 (y) 1.5 4 3.5 2.5 1.0 1.5 2.5 3 Estimate the partial derivates of f with respect to x and with respect to y at x = -1.0 and y Give as many estimates as you can. = 1.0.
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