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Math Help - C3 differentiation

  1. #1
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    C3 differentiation

    http://img508.imageshack.us/my.php?image=graphah5.png

    The diagram shows the curve with the equation y = (x+3)(x-1)^3 which crosses the x-axis at P and Q and has a minimum point at R

    a) write down the coordinates of P and Q
    b) find the coordinates of R

    i am really stuck here but have a feeling its easier than i think. any help would be great
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by andyp999 View Post
    ImageShack - Hosting :: graphah5.png

    The diagram shows the curve with the equation y = (x+3)(x-1)^3 which crosses the x-axis at P and Q and has a minimum point at R

    a) write down the coordinates of P and Q
    b) find the coordinates of R

    i am really stuck here but have a feeling its easier than i think. any help would be great
    Just apply what you know. X-intercepts implies that those values of x make the function zero. So (x+3)(x-1)^3=0\implies{x+3=0\text{ or }(x-1)^3=0}. And to find the minimum point you can attempt to locate the vertex or you can differentiate and use the second derivative test.
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