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Math Help - problem in turning point

  1. #1
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    problem in turning point

    question:the curve y=x^3-px^2-qx+r has the turning point at(-1,10) and (3,-22).Find the values of p,q and r.

    please help me..i dont know how to do.
    Last edited by mastermin346; October 13th 2009 at 04:14 AM.
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  2. #2
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    Quote Originally Posted by mastermin346 View Post
    question:the curve y=x^3-px^2-qx+r has the turning point at(-1,10) and (3,-22).Find the values of p,q and r.

    please help me..i dont know how to do.
    HI

    i guess you know that you need to differentiate a given function and have its equals 0 to find its turning points .

    \frac{dy}{dx}=3x^2-2px-q

    3x^2-2px-q=0

    then substitute -1 and 3 into the equation and you will get 2 equations . Then solve for p and q .'

    For r , substitute p , q and one of the points this curve passes (in red) into the original equation (blue) .
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