Business Calculus: Definition of the Derivative - Section 3.4

Learn the fundamental concepts of derivative calculation in this 37-minute mathematics lecture that explores the limit definition for finding tangent line slopes. Master the distinction between average and instantaneous rates of change while understanding their relationship to function derivatives. Examine the conditions that determine derivative existence at specific points and analyze scenarios where derivatives fail to exist. Gain practical knowledge through clear explanations and examples that build a strong foundation in business calculus concepts.