Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5

A. fxx(x, y) = 2yex2; fyy(x, y) = 2x; fyx(x, y) = fxy(x, y) = 2xex2
B. fxx(x, y) = 2yex2; fyy(x, y) = 2x; fyx(x, y) = fxy(x, y) = 2y + 2xex2
C. fxx(x, y) = yex2(1 + 2x2); fyy(x, y) = x; fyx(x, y) = fxy(x, y) = y + xex2
D. fxx(x, y) = 2yex2(1 + 2x2); fyy(x, y) = 2x; fyx(x, y) = fxy(x, y) = 2y + 2xex2


Answer: D

Mathematics

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