Estimating partial derivatives from a table The following table shows values of a function f(x, y) for values of x from 2 to 2.5 and values of y from 3 to 3.5. Use this table to estimate the values of the following partial derivatives. 2 2.1 2.2 2.3 2.4 2.5 3 4.243 4.347 4.450 4.550 4.648 4.743 3.1 4.384 4.492 4.598 4.701 4.802 4.902 3.2 4.525 4.637 4.746 4.853 4.957 5.060 3.3 4.667 4.782 4.895 5.005 5.112 5.218 3.4 4.808 4.930 5.043 5.156 5.267 5.376 3.5 4.950 5.072 5.191 5.308 5.422 5.534 f,(2, 3)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Estimating partial derivatives from a table The following
table shows values of a function f(x, y) for values of x from 2 to 2.5
and values of y from 3 to 3.5. Use this table to estimate the values of
the following partial derivatives.
2
2.1
2.2
2.3
2.4
2.5
3
4.243
4.347
4.450
4.550
4.648
4.743
3.1
4.384
4.492
4.598
4.701
4.802
4.902
3.2
4.525
4.637
4.746
4.853
4.957
5.060
3.3
4.667
4.782
4.895
5.005
5.112
5.218
3.4
4.808
4.930
5.043
5.156
5.267
5.376
3.5
4.950
5.072
5.191
5.308
5.422
5.534
f,(2, 3)
Transcribed Image Text:Estimating partial derivatives from a table The following table shows values of a function f(x, y) for values of x from 2 to 2.5 and values of y from 3 to 3.5. Use this table to estimate the values of the following partial derivatives. 2 2.1 2.2 2.3 2.4 2.5 3 4.243 4.347 4.450 4.550 4.648 4.743 3.1 4.384 4.492 4.598 4.701 4.802 4.902 3.2 4.525 4.637 4.746 4.853 4.957 5.060 3.3 4.667 4.782 4.895 5.005 5.112 5.218 3.4 4.808 4.930 5.043 5.156 5.267 5.376 3.5 4.950 5.072 5.191 5.308 5.422 5.534 f,(2, 3)
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