A comprehensive guide to kettenregel und produktregel in calculus, focusing on chain rule and product rule applications. The material covers differentiation techniques for composite and product functions, with detailed examples and step-by-step solutions.
- The chain rule allows differentiation of composite functions by multiplying the derivative of the outer function with the derivative of the inner function
- The product rule enables differentiation of products of functions through a specific formula
- Examples demonstrate practical applications with various function types including trigonometric and polynomial functions
- Clear distinction between different approaches to solving chain rule problems, including direct application and expanded methods
- Emphasis on understanding when and how to apply each rule effectively
