TRUE OR FALSE If f '(c) = 0 and f ''(c) < 0, then f has a local minimum at x = c.?

If f '(c) = 0 and f ''(c) %26lt; 0, then f has a local minimum at x = c. true or falseTRUE OR FALSE If f '(c) = 0 and f ''(c) %26lt; 0, then f has a local minimum at x = c.?
This is false. The Second Derivative Test says:





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





2. If f'(c) = 0 and f''(c) %26lt; 0, then f has a local maximum at x = c.