Find all points where the curves $f(x) = x^3-3x+4$ and $g(x) = 3x^2-3x$ share the same tangent line.
Graphing them I see that they look like they share a tangent line at $x=2$.
I got the derivatives of both and set them equal to each other and got $x=0$ and $x=2$.
After plugging $2$ back in I got $6$. So the point is $(2,6)$.
Is that correct?