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Home/Mathematics/Calculus/Mean Value Theorem Calculator
Math CalculatorCalculus

Mean Value Theorem Calculator

Apply the Mean Value Theorem to find the value c in (a, b) where f'(c) equals the average rate of change [f(b) - f(a)] / (b - a).

Updated 2025-01-154 min readCalzyra Math Team
HomeMathcalculusMean Value Theorem Calculator

Mean Value Theorem Calculator

Apply the Mean Value Theorem to find the value c in (a, b) where f'(c) equals the average rate of change [f(b) - f(a)] / (b - a).

Formulaf'(c) = [f(b) - f(a)] / (b - a)

Enter Values

Enter comma-separated coefficients starting from the highest degree term.

About This Formula

The Mean Value Theorem guarantees at least one c in (a, b) where the instantaneous rate of change equals the average rate of change over [a, b].

Formula & Methodology

How this calculator works

f'(c) = [f(b) - f(a)] / (b - a)

The Mean Value Theorem guarantees at least one c in (a, b) where the instantaneous rate of change equals the average rate of change over [a, b].

Frequently Asked Questions

Common questions about this calculator

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