# Quick Integral/Derivative question.

1. Dec 1, 2008

### synthetic.

Is it always true that if; $$f(x) = f '(x)$$, then; $$-f (x) = - \int f '(x)$$ ?

That is, the negative of a derivative has an integral which is simply the negative of the original function? (ignoring arbitiary constants)

Last edited: Dec 2, 2008
2. Dec 1, 2008

Yes - the right side is just $$f(x)$$, up to a constant.