Find all the first order partial derivatives for the following function.f(x ,y, z) = (sin xy)(cos yz2)

A. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (z2 sin xy)(sin yz2) - (x cos xy)(cos yz2); fz(x, y) = 2(yz sin xy)(sin yz2)
B. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); fz(x, y) = -2(yz sin xy)(sin yz2)
C. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2); fz(x, y) = -2(yz sin xy)(sin yz2)
D. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); fz(x, y) = 2(yz sin xy)(sin yz2)


Answer: B

Mathematics

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