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    Concavity

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    Where on the interval [0, 2π] is the function f (x) = x - sin x concave up?

    (π=pi)

    © BrainMass Inc. brainmass.com December 15, 2022, 6:16 pm ad1c9bdddf
    https://brainmass.com/math/functional-analysis/concavity-136409

    Solution Preview

    To determine if a graph is concave up or down we look at the second derivative.

    f(x) = x - sin x
    f'(x) = 1 - ...

    Solution Summary

    This shows how to determine where a function is concave up.

    $2.49

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