(a) Let f(x, y) = x2 + y2. Estimate fx(2, 1) and fy(2, 1) using the contour diagram for
Chapter 8, Problem 17(choose chapter or problem)
(a) Let f(x, y) = x2 + y2. Estimate fx(2, 1) and fy(2, 1) using the contour diagram for f in Figure 8.44. (b) Estimate fx(2, 1) and fy(2, 1) from a table of values for f with x = 1.9, 2, 2.1 and y = 0.9, 1, 1.1. (c) Compare your estimates in parts (a) and (b) with the exact values of fx(2, 1) and fy(2, 1) found algebraically.
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