Convexity and Concavity: Inflection Points, Taylor Expansion, and Darboux Sums

This lecture covers inflection points, convexity, concavity, and asymptotes in functions. It also explores higher derivatives, Taylor expansion, and Darboux sums, providing examples and applications. The lecture delves into the concepts of local maxima and minima, convex and concave effects, and the properties of functions in terms of convexity and concavity.