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My favorite theorem in math would the Mean Value Theorem, it states that in a continuous interval of [a,b] and differentiable on (a,b) there is at least one number, c, such that <math>f'(c) = \frac{f(b)-f(a)}{b-a}</math>. It is one of those things that just fascinated me in my early Calculus days. | My favorite theorem in math would the Mean Value Theorem, it states that in a continuous interval of [a,b] and differentiable on (a,b) there is at least one number, c, such that <math>f'(c) = \frac{f(b)-f(a)}{b-a}</math>. It is one of those things that just fascinated me in my early Calculus days. | ||
Latest revision as of 18:06, 28 January 2009
My favorite theorem in math would the Mean Value Theorem, it states that in a continuous interval of [a,b] and differentiable on (a,b) there is at least one number, c, such that $ f'(c) = \frac{f(b)-f(a)}{b-a} $. It is one of those things that just fascinated me in my early Calculus days.
