Explore BrainMass

Explore BrainMass

    Intermediate value theorem

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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]

    © BrainMass Inc. brainmass.com March 4, 2021, 11:25 pm ad1c9bdddf

    Solution Preview

    Hello and thank you for posting your question to Brainmass!

    The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

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

    Solution Summary

    Mean Value Theorem is also contextualized clearly.