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    Find the intervals

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    A) Find the intervals where g(x)=2x^3-96x^2+1440x-3676 is increasing and the intervals where it is decreasing.

    B) Find the intervals where h(x)=-1/2x^4+3x^3+54x^2+9x-1 is concave up and concave down.

    Help would be much appreciated.

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    Solution Preview

    A function increases in the interval where its first derivative is positive.
    It decreases in the interval where its first derivative is negative.
    For a decreasing function we see that for we get, using the definition of the derivative:
    For increasing function:
    In our ...

    Solution Summary

    The expert finds the intervals for increasing and decreasing values.