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Math Help - determine the points on the curve that corresponds to the given slope

  1. #1
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    determine the points on the curve that corresponds to the given slope

    determine the points on the curve that corresponds to the given slope

    y=(2x-1)(-4+2x^2) slope = 3

    i tried simplifying the function
    which got me 2x^3-x^2+8x+4
    and equate the slope with the function
    2x^3-x^2+8x+4=3
    which got me
    2x^3-x^2+8x-1

    now how do i factor this equation and get the x-intercepts? i got stuck here....please here
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  2. #2
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    Quote Originally Posted by antikv View Post
    determine the points on the curve that corresponds to the given slope
    y=(2x-1)(-4+2x^2) slope = 3
    Expand to get y=4x^3-2x^2-8x+4.
    Find the derivative(the slope) y'=12x^2-4x-8.
    Set equal to 3, 12x^2-4x-8=3.
    Solve.
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  3. #3
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    so thats how do you it thx a ton
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