recheck #61. 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.

4.

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:

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.