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Calc

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Let F be the function defined by F(X)=12X to the 2/3 power minus 4X Find the intervals of which F is increasing? Find X & Y coordinates of all relative max. pts? Find X and Y Coordinates of all relative min pts? Find the intervals of which F is concave down? Sketch a graph of F

  • Calc - ,

    I read your statement as
    f(x) = 12x^(2/3) - 4x
    then
    f '(x) = 8x^(-1/3) - 4
    = 0 for max/min

    8/x^(1/3) = 4
    4x^(1/3) = 8
    x^(1/3) = 2
    x = 8
    then f(8) = 12(8)^(2/3) - 4(8)
    = 48 - 32
    = 16

    Can you take it from here?

    remember that the function is concave up when the second derivative is positive and
    concave down .....

  • Calc - ,

    When the second derivative is negative

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