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. | ||
| − | [[Category: | + | [[Category:Calculus]] |
Latest revision as of 15:52, July 13, 2016
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: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(b) - f(a) = f'(c)(b-a)} , where c is between b and a.