Thread: 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!!

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