Proving Fermat's Theorem and graphing local and absolute extrema

Mean Value Theorem and using derivatives to find the shape of curves

Mean Value Theorem and using derivatives to find the shape of curves

Determining the properties of a function from the graph of its derivative

Finding the intervals where a function is increasing and decreasing and its local maximums and minimums

Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

Using the first and second derivatives to sketch the graph of a function