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Use the graphs of and below to determine the -values of all local minimums, maximums, and points of inflection.

  1. will be increasing where is positive, and vice versa.
    will be concave up where has positive slopes, and vice versa.

    Local max at ; changes from positive to negative.
    Inflection points at , , ; changes slope.
    Local min at ; changes from negative to positive.

  1. See the hint in part (a).