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    Intermediate value theorem

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    Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]

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    https://brainmass.com/math/graphs-and-functions/fixed-point-theorem-mean-value-theorem-420887

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    Intermediate value theorem:
    If is continuous on a closed interval and there exists a number c ...

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    Mean Value Theorem is also contextualized clearly.

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