Applications of Derivatives

Here’s a Topic Tree based on the image provided, titled “Topics Covered” under the subject Application of Derivatives:


Application of Derivatives – Topic Tree

  1. Derivative as Rate Measure
  2. Related Rates
  3. Applications in Geometry & Motion
    • Shadow Formation
    • Sliding of Ladder
    • Motion of a Particle Along a Curve
  4. Economics Applications
    • Marginal Cost
    • Marginal Revenue
  5. Theorems
    • Rolle’s Theorem
    • Lagrange’s Mean Value Theorem (LMV Theorem)
  6. Monotonicity
    • Increasing and Decreasing Functions
  7. Tangents and Normals
  8. Special Tangents and Normals
    • Tangent/Normal Parallel or Perpendicular to a Given Line
  9. Angle Between Curves
    • Angle of Intersection of Two Curves
  10. Differential Calculus
    • Differential Approximation
  11. Local Extrema
    • Local Maximum and Minimum Values of a Function
  12. Absolute Extrema
    • Absolute Maximum and Minimum Values of a Function

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