Suppose f(x, y) is a function such that fx(0, 0) = 0 andfy(0, 0) = 0, and fu (0, 0) = 3
Chapter 14, Problem 18(choose chapter or problem)
Suppose f(x, y) is a function such that fx(0, 0) = 0 andfy(0, 0) = 0, and fu (0, 0) = 3 for u = (i +j )/2.(a) Is f differentiable at (0, 0)? Explain.(b) Give an example of a function f defined on 2-spacewhich satisfies these conditions. [Hint: The functionf does not have to be defined by a single formulavalid over all of 2-space.]
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