Lesson: Curve Sketching using Derivatives Mathematics

Students will be able to

• identify the graph of a given function by considering the derivative of the function,
• use local extrema and intervals of increase and decrease to help sketch the graph of a function,
• use limits to find vertical and horizontal asymptotes of the graph of a function and its end behavior,
• use the second derivative, points of inflection, and concavity of a polynomial or rational function to help sketch the graph of a function.