Mean+Value+Theorem

=Mean Value Theorem=

Definition
Let f be a function which is differentiable on the closed interval [a,b]. Then there exists a point c in (a,b) such that

Proof
In order for a function to satisfy the Mean Value Theorem, it must satisfy the following conditions: 1. The function f(x) must be continuous on the interval [a,b] 2. The function f(x) must be differentiable on the interval (a,b)

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