Understand the derivative as a function related to the original definition of a function. {{CMD_4}} Find the derivative function using the limit definition. {{CMD_5}} Relate the derivative function to the derivative at a point. {{CMD_6}} Explain the relationship between differentiability and continuity. {{CMD_7}} Relate the graph of the function to the graph of its derivative. {{CMD_8}} Determine whether a piecewise function is differentiable. {{CMD_9}}