Consider the function defined by (a) Find fx(x, y) and fy(x, y) for (x, y) (0,
Question:
Consider the function defined by
(a) Find fx(x, y) and fy(x, y) for (x, y) ≠ (0, 0).
(b) Use the definition of partial derivatives to find fx(0, 0) and fy(0, 0).
(c) Use the definition of partial derivatives to find fxy(0, 0) and fyx(0, 0).
(d) Using Theorem 13.3 and the result of part (c), what can be said about fxy or fyx?
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Related Book For
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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