Find all the first order partial derivatives for the following function.f(x, y) = sin2 (4xy2 - y)
A. fx(x, y) = 2 sin (4xy2 - y) cos (4xy2 - y); fy(x, y) = 2 sin(4xy2 - y) cos(4xy2 - y)
B. fx(x, y) = 2 sin (4xy2 - y) cos (4xy2 - y); fy(x, y) = (16x - 2) sin (4xy2 - y) cos (4xy2 - y)
C. fx(x, y) = 8y2 sin (4xy2 - y) cos (4xy2 - y); fy(x, y) = 2 sin (4xy2 - y) cos (4xy2 - y)
D. fx(x, y) = 8y2 sin (4xy2 - y) cos (4xy2 - y); fy(x, y) = (16xy - 2) sin (4xy2 - y) cos (4xy2 - y)
Answer: D
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