Proving the Mean Value Theorem, part II

Slide the endpoints "A" and "B" to change the interval and secant line.

Slide the point "C" to find the tangents to f(x) and g(x) = f(x) - Secant Line

Notice that any point that satisfies the conclusion of Rolle's Theorem for g(x) automatically also satisfies the conclusion of the MVT for f(x).

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