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Saturday, November 22, 2008
Lagrange's Mean value theorem
When f(x) is a function defined on [a,b] such that
i) it is continuous on [a,b] and
ii) it is differentiable on (a,b)
there exists a real number c that belongs to (a,b) such that
f'(c) = (f(b)-f(a))/(b-a)
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