Answer
There exists at least one $c \in (a, b)$ such that $f'(c) = \frac{f(b) - f(a)}{b - a}$.
Explanation
Geometrically, there is at least one point where the instantaneous tangent line is parallel to the secant line between the endpoints.
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What does the Mean Value Theorem (MVT) state for a function $f(x)$ continuous on $[a, b]$ and differentiable on $(a, b)$?
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