Use the first derivative to determine whether a function is increasing or decreasing. {{CMD_4}} Define higher order derivatives. {{CMD_5}} Compare differing notations for higher order derivatives. {{CMD_6}} Identify the relationships between the function and its first and second derivatives. {{CMD_7}} Sketch a graph of the second derivative, given the original function. {{CMD_8}} Sketch a graph of the original function, given the graph of its first or second derivative. {{CMD_9}} Sketch a graph of a function satisfying certain constraints on its higher-order derivatives. {{CMD_10}} State the relationship between concavity and the second derivative. {{CMD_11}} Interpret the second derivative of a position function as acceleration. {{CMD_12}} Calculate higher order derivatives. {{CMD_13}} Given the graph of a position function, find time intervals where the velocity is positive/negative {{CMD_14}} Given the graph of a position function, find time intervals where the velocity is increasing/decreasing