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Thread: prove one function is less than other with mean value theorem

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    prove one function is less than other with mean value theorem

    Suppose that f and g are continuous on [a, b] and differentiable on (a, b). Suppose also that f(a) =g(a) and f′(x)< g′ (x) for a < x < b. Prove that f(b)< g(b). [Hint: Apply the Mean Value Theorem to the function h=f−g.]
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    MHF Contributor Siron's Avatar
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    Re: prove one function is less than other with mean value theorem

    Have you tried to apply it? If yes, show your work ...
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