The Mean Value Theorem of Calculus states that for some value ''c'' on the function ''f'' on some interval [a, b], ''f'(c)'' (the slope of ''f'' at ''c'') will equal the average slope over [a, b]. | The Mean Value Theorem of Calculus states that for some value ''c'' on the function ''f'' on some interval [a, b], ''f'(c)'' (the slope of ''f'' at ''c'') will equal the average slope over [a, b]. |