Find the Maximum, the Minimum, and Points of Inflection in Calculus

IB Math SL Analysis and Approaches Topic 5 Calculus, IB Mathematics Standard Level Analysis and Approaches, Oxford Textbook. Relative Extrema, Local Maximum and Minimum, Critical Points
00:00 Given a cubic function, find the derivative, set equal to zero, find max or min
00:54 take the first derivative
02:07 two solutions, plug back into function to find y
03:55 Sign diagram for each solution
05:44 Find the second derivative
06:40 take your value plug into second derivative
07:51 Going over to Desmos to see what the graph looks like and where the critical points are