If f '(c) = 0 and f ''(c) > 0, then f has a local minimum at x = c?

If f '(c) = 0 and f ''(c) %26gt; 0, then f has a local minimum at x = c (true or false)

If f '(c) = 0 and f ''(c) %26gt; 0, then f has a local minimum at x = c?
True.





If f'(c) = 0, then c could be a local max or min.





If f''(c) %26gt; 0, then f(x) is concave up. You know what concave up looks like, right? It's kind of like a U.


That will be a local min.