For the two functions f (x, y) = x3 – 3xy2 and g(x,y) = 3x2y – y3. Which one of the following options is correct?

\(\frac {\partial f}{\partial y} = \frac {\partial g}{\partial x}\)

\(\frac {\partial f}{\partial x} = \frac {\partial g}{\partial x}\)

\(\frac {\partial f}{\partial x} = - \frac {\partial g}{\partial y}\)

\(\frac {\partial f}{\partial y} = - \frac {\partial g}{\partial x}\)

For the two functions f (x, y) = x3 – 3xy2 and g(x,y) = 3x2y – y3.

1.	For the two functions f (x, y) = x3 – 3xy2 and g(x,y) = 3x2y – y3. Which one of the following options is correct?
A.	\(\frac {\partial f}{\partial x} = \frac {\partial g}{\partial x}\)
B.	\(\frac {\partial f}{\partial x} = - \frac {\partial g}{\partial y}\)
C.	\(\frac {\partial f}{\partial y} = - \frac {\partial g}{\partial x}\)
D.	\(\frac {\partial f}{\partial y} = \frac {\partial g}{\partial x}\)
Answer» D. \(\frac {\partial f}{\partial y} = \frac {\partial g}{\partial x}\)

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For the two functions f (x, y) = x3 – 3xy2 and g(x,y) = 3x2y – y3. Which one of the following options is correct?

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