Let A= {x, y}: x

Let A= {x, y}: x <0, or x ≥ 0 and y ≠ 0}.
a. If f: A→R and D1f =D2f = 0, show that f is a constant.
b. Find a function f: A→R such that D2f =0 but f is not independent of the second variable.

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