Applications of Derivatives - Rolle's and Mean Value Theorem, Concavity, Critical and Inflection Points

Learn essential calculus concepts in this comprehensive video tutorial covering key applications of derivatives, including average and instantaneous rates of change, slope calculations for secant, tangent, and normal lines, critical points identification, inflection points analysis, and concavity determination. Master fundamental theorems like Rolle's theorem and the Mean Value theorem while exploring the first and second derivative tests, l'Hôpital's rule, and Newton's method. Access a free formula sheet and connect to an extensive library of related calculus topics through provided links, ranging from introductory limits to advanced optimization problems.