1. The problem statement, all variables and given/known data What is the smallest possible slope for a tangent line to y=2x^3-6x^2+10x+3 on the interval [-2,2]? 2. Relevant equations implicit differentation 3. The attempt at a solution Another question that should be easy, yet that I am finding frustrating. To me what it looks like I need to do is take the derivative of the formula and then find any other critical points to use the Algorithm for Extreme Values. The only problem I seem to be having is finding these other critical points because the derivative will not factor. I know 1 is the value for x I need, because the answer is 4 (found the value for x through simple guess and check), but I do not know how to go about finding it or a similiar value. Any help for this question would be great, thanks in advance.