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  2. For business economics
  3. Chapter 5: Optimization
  4. Optimization functions of one variable
  5. Monotonicity
  6. Example

Example

In the following figure the graph of $f(x)=x^2$ is shown. The function is decreasing for $x\leq 0$ and increasing for $x\geq 0$.

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Wiskunde Mathematics for business economics leeromgeving

 

  • Chapter 1: Functions of one variable
  • Chapter 2: Differentiation of functions of one variable
  • Chapter 3: Functions of two variables
  • Chapter 4: Differentiation of functions of two variables
  • Chapter 5: Optimization
    • Optimization functions of one variable
      • Monotonicity
        • Example
        • Exercise
      • Monotonicity and derivative
      • Minimum/maximum
      • Stationary point
      • First-order condition extremum
      • Monotonicity condition extremum
      • Alternative monotonicity condition extremum
      • Second-order derivative
      • Second-order condition extremum
    • Applications 1
    • Optimization functions of two variables
    • Applications 2
    • Optimization constrained extremum problems
    • Applications 3
    • Optimization convex/concave functions
  • Chapter 6: Areas and integrals

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