Home » Courses » Mathematics » Single Variable Calculus » 2. Applications of Differentiation » Part A: Approximation and Curve Sketching » Session 27: Sketching Graphs I - Polynomials and Rational Functio
The first derivative of a function tells us whether its graph slopes up or down or is level. The second derivative tells us how that slope is changing. By combining this information with what we know about asymptotes, intercepts and plotting points we can sketch a pretty good graph of the function.