Essay
Let F(x,y) =
(a) Use the definitions of partial derivatives to calculate
(0, 0) and
(0, 0).
(b) Calculate
and
for (x, y) ≠ (0, 0).
(c) Use part (b) and the definitions of partial derivatives to calculate the mixed partial
.
Correct Answer:
Verified
(a)
(0, 0) = 0,
(0, 0) = 0
(...
(...
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