1. The problem statement, all variables and given/known data show that the tangent line to the curve y=x^3 at any point (a,a^3) meets the curve again at a point where the slope is four times the slop at (a,a^3). 2. Relevant equations y=3x^2, point slope formula 3. The attempt at a solution Not really sure where to begin. A hint should be enough.