Difference between revisions of "Mean value theorem"
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This is written algebraically as: <math>f(b) - f(a) = f'(c)(b-a)</math>, where c is between b and a. | This is written algebraically as: <math>f(b) - f(a) = f'(c)(b-a)</math>, where c is between b and a. | ||
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Revision as of 21:07, November 8, 2009
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], provided that f is continuous over the interval [a, b] and differentiable on the interval (a, b).
This is written algebraically as: , where c is between b and a.
