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Math Help - Common tangent?

  1. #1
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    Unhappy Common tangent?

    1) Find the equation of the common tangent of the parabolae: y=(x+1)^2 and y=x(4-x)

    2) Find the gradient of the common tangents to the parabola y=x(x-4) and the circle (x-2)^2+y^2=4

    Thank you so much!!
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  2. #2
    MHF Contributor

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    What have you done on this? Do you know how to find a tangent of either one at, say, (x_0, y_0)?
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