Derivative Applications
Learning Time: 6-18 hours
Content: Derivative applications is the subject that examines the practical uses of derivatives. The 2025 curriculum includes finding maximum and minimum, increasing and decreasing functions, and curvature analysis. This topic is only found in the AYT curriculum.
- Basic Concepts:
- Critical Points (f'(x) = 0)
- Increasing and Decreasing Functions
- Curvature (Second Derivative)
- Solution Techniques:
- Finding Maximum and Minimum
- First and Second Derivative Testing
- Graphical Analysis
- Advanced Analysis:
- Optimization Problems
- Change Points
- Application Problems
- Applications:
- Engineering Design
- Economic Analysis (Profit Maximization)
- Physical Models
- Affecting Factors:
- Function Shape
- Degree of Derivative
- Application Type
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
