| 1. | He also refined the second mean value theorem of integration.
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| 2. | The mean value theorem is still valid in a slightly more general setting.
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| 3. | According to the mean value theorem ( above ),
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| 4. | Since g is a differentiable function in one variable, the mean value theorem gives:
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| 5. | Look up Gauss'Mean Value Theorem.
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| 6. | Another proof can be given by combining the mean value theorem and the intermediate value theorem.
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| 7. | It can be generalized to more variables according by the mean value theorem for divided differences.
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| 8. | In particular, the ultrahyperbolic equation satisfies an analog of the mean value theorem for harmonic functions
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| 9. | Cauchy's mean value theorem can be used to prove l'H�pital's rule.
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| 10. | More formally, P ?is found in the mean value theorem of calculus, which says:
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