Rules of Differentiation
Learning Time: 6-18 hours
Content: Rules of differentiation is the subject that examines the rate of change of functions. The 2025 curriculum includes basic rules (addition, multiplication), the chain rule, and exponential derivatives. This topic is only found in the AYT curriculum.
- Basic Concepts:
- Definition of Derivative (f'(x) = lim h→0 [f(x+h) – f(x)]/h)
- Simple Derivatives (Constant, Linear)
- Average Rate of Change
- Solution Techniques:
- Addition and Multiplication Rules
- The Chain Rule
- Exponential and Logarithmic Derivatives
- Advanced Analysis:
- Inner Product and Exterior Derivative
- Derivatives of Complex Functions
- Application Problems
- Applications:
- Optimization Problems
- Physical Motion Analysis
- Economic Models
- Affecting Factors:
- Function Complexity
- Rule Type
- Variable Range
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
