Originally Posted by

**biermann33** 1. If $\displaystyle f'(c)=0$ and $\displaystyle f''(c)>0$, then f(x) has a local minimum at c.

2. If $\displaystyle f'(x)<0$ 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.

4. $\displaystyle (f(x) + g(x))' = f'(x)+g'(x)$

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)=$\displaystyle e^2$, then $\displaystyle f'(x)=2e$

My answers are:

1.T

2.T

3.T

4.T

5.F

6.T

7.F

I know i have exactly one problem wrong, but i can't figure out which one it is.