Here’s a Topic Tree based on the image provided, titled “Topics Covered” under the subject Application of Derivatives:
Application of Derivatives – Topic Tree
- Derivative as Rate Measure
- Related Rates
- Applications in Geometry & Motion
- Shadow Formation
- Sliding of Ladder
- Motion of a Particle Along a Curve
- Economics Applications
- Marginal Cost
- Marginal Revenue
- Theorems
- Rolle’s Theorem
- Lagrange’s Mean Value Theorem (LMV Theorem)
- Monotonicity
- Increasing and Decreasing Functions
- Tangents and Normals
- Special Tangents and Normals
- Tangent/Normal Parallel or Perpendicular to a Given Line
- Angle Between Curves
- Angle of Intersection of Two Curves
- Differential Calculus
- Differential Approximation
- Local Extrema
- Local Maximum and Minimum Values of a Function
- Absolute Extrema
- Absolute Maximum and Minimum Values of a Function