Monotonicity Criteria in Differentiable Functions

This lecture covers the criteria for monotonicity in differentiable functions, including L'Hopital's rule, higher derivatives, and Lipschitz continuity. It also explores examples and extensions of the rule, such as when repeated application is not possible. Additionally, it delves into deep neural networks and activation functions like Sigmoid, Leaky ReLU, tanh, Maxout, and ELU, discussing Lipschitz-Stetigkeit. The instructor emphasizes the importance of understanding these concepts for analyzing functions' behavior.