1. The problem statement, all variables and given/known data "Find all the points on the curve with equation 6y = 2x^3 + 3x^2 + 6x + 5 where the tangent is parallel to the line with equation 3x − y + 2 = 0 2. Relevant equations No idea 3. The attempt at a solution There are no exercises in the book even similar to this example which is fairly frustrating. Its under the differentiation chapter so it obviously involves differentiation. I can do that myself no bother but what is the method to find all points on the curve when a tangent is parallel to the line? Is there some sort of rule? NOTE: This is not a graded assignment or even homework for that matter, it is revision for an exam I have in 5 days.