- #1

jwxie

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## Homework Statement

For two variables, F = grad(f) if only if partial P / partial y is equal to partial Q / partial x

where, P and Q represent the x, y function, P(x,y) and Q(x,y)

For example:

F(x,y) = P(x,y) + Q(x,y)

Now the question is, for three variables, I have P + Q + R.

Is proving partial P / partial y = partial Q / partial x enough to say that F = grad(f)? If not, what is the approach to prove it for a 3 variables?

Thank you