1. If and , then f(x) has a local minimum at c.
2. If for all x in (0,1), then f(x) is decreasing on (0,1).
3. A continuous function on a closed interval always attains a maximum and a minimum value.
5. Continuous functions are always differentiable.
6. If a function has a local maximum at c, then f'(c) exists and is equal to 0.
7. If f(x)= , then
My answers are:
I know i have exactly one problem wrong, but i can't figure out which one it is.