1. The problem statement, all variables and given/known data The function f is defined as f(x)=3x^5-10x^3+1 1) Determine the maximum and minimum points, as well the point of inflection of the graph f. 2. Relevant equations All the differentiation equation. 3. The attempt at a solution I found the maximum point and minimum point, but I had some trouble with the inflection point. So.... f''(x)=60x^3-60x^2 f''(x)=0, 60x^3-60x^2=0 x=0, x=1 f'''(0)=0 Hence the only inflection point is (1,-6) But the answer given is (0,1),(1,-6)and (-1,8). Is the answer correct?