Calculus Derivative applications Minima, maxima, inflection points and critical points Minima, maxima and critical points Testing critical points for local extrema Identifying minima and maxima for x^3 - 12x - 5 Concavity, concave upwards and concave downwards intervals Recognizing concavity Inflection points Graphing using derivatives Another example graphing with derivatives Recognizing concavity Identify concave upwards and concave downwards intervals on graphs of functions