Find the gradient field F of the function f.f(x, y, z) = (x4y2 - y8z3)e-z2
A. F = 4x3i + (8y7 - 2y)j + 2z4e-z2k
B. F = 4x3y2i + (8y7z3 - 2x4y)j + (2z2 - 3)y8z2k
C. F = 4x3y2e-z2i + (2x4y - 8y7z3)e-z2j + (3 - 2z2)y8z2e-z2k
D. F = 4x3y2e-z2i + (2x4y - 8y7z3)e-z2j + y2ze- z2[y6z(2z2 - 3) - 2x4]k
Answer: D
Mathematics
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