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Math Help - the equation of normal problem

  1. #1
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    the equation of normal problem

    this is the question:the normal to the curve y=X^3-2X^2 at the point (1,-1)passes through the point(p,2p).calculate the value of p.



    someone please help me..
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  2. #2
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    Quote Originally Posted by mastermin346 View Post
    this is the question:the normal to the curve y=X^3-2X^2 at the point (1,-1)passes through the point(p,2p).calculate the value of p.



    someone please help me..
    HI

    y=x^3-2x^2

    \frac{dy}{dx}=3x^2-4x and this is the gradient of tangent

    =3(1)-4

    =-1

    Then using this formula , y-y_1=m(x-x_1)

    you will find that the equation of normal is y=x-2

    so this equation passes through (p,2p)

    2p=p-2

     <br />
p=-2<br />
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