1. )+))′=′(x)+′(x). t equation editorequation editor 2. continuous functions are always differentiable. t equation editorequation editor 3. if a function has a local maximum at c, then ′(c) exists and is equal to 0. equation editorequation editor 4. a continuous function on a closed interval always attains a maximum and a minimum value in . equation editorequation editor 5. if ) and ) are increasing on an interval then ) is increasing on equation editorequation editor 6. differentiable functions are always continuous. equation editorequation editor 7. if ′(c)=0 and ″(c)> 0, then ) has a local minimum at