1. Differentiable functions are always continuous.
2. If f(x)=e2, then f(x)=2e.
3. If f(c)=0 and f(c)0, then f(x) has a local minimum at c.
4. If f(x) and g(x) are increasing on an interval I, then f(x)g(x) is increasing on I.
5. A continuous function on a closed interval always attains a maximum and a minimum value.
6. If f(c)=0, then c is either a local maximum or a local minimum.
7. If f(x)0 for all x in (0,1), then f(x) is decreasing on (0,1).

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