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#### karush

##### Well-known member

- Jan 31, 2012

- 2,778

View attachment 517

on the graph above f(x) for [0,7] at x=4 and x=5 what is f' and f'' or does it not exist

thanks ahead

- Thread starter karush
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- Thread starter
- #1

- Jan 31, 2012

- 2,778

View attachment 517

on the graph above f(x) for [0,7] at x=4 and x=5 what is f' and f'' or does it not exist

thanks ahead

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- #2

- Jan 26, 2012

- 4,197

Great question, by the way! It reminds me of the question of whether, given a function defined on a closed interval, whether the endpoints are critical points (since the two-sided derivative does not exist there).