1. The problem statement, all variables and given/known data f(x)=x^3+bx^2+d given a critical point of (2,-4), solve for b and d 2. Relevant equations f'(x)=3x^2+2bx ? 3. The attempt at a solution I wasn't really sure where to go with this. So I know that a critical point happens when f'(x)=0, and this point can be either a max, min, or extrema. I tried making the derivative = to 0 and then subbed in the x value from the critical point of x=2. But i believe that this is definitely not right. Any help is much appreciated, thank you.