Mean Value Theorem (MVT): If f is continuous on [a, b] and differentiable on (a, b), there exists c in (a, b) where f prime(c) = [f(b) minus f(a)] / (b minus a).
How to apply it: Use MVT to guarantee the existence of a point where the instantaneous rate equals the average rate.
Course: AP Calculus BC · Unit: Analytical Applications of Differentiation
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