Review of differentiation

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After completing this section, students should be able to do the following.

Recall the definition of the derivative.
Calculate derivatives using the shortcut formulas.
Find the equation of a tangent line.
Calculate instantaneous rates of change.
Use derivatives to determine if a function is increasing/decreasing.
Use derivatives to determine if a function is concave up/concave down.
Use derivatives to find local extrema.
Use derivatives to find global extrema.
Use derivatives to solve optimization problems.
Recall the Mean Value Theorem.