Fermat's Theorem

Tags

Calculus

cegep/1

Word count

58 words

Reading time

1 minute

If $f$ has a local extremum at $x = c$ , $f^{'} (c) = 0$ or undefined (i.e. local extremum $⟹$ critical point).

The inverse is only true if $f'$ changes sign across $x = c$.

Does not apply to global extrema which can occur at non critical points.

Contributors

Last edited 7 days ago

View full history