Overslaan en naar de inhoud gaan
Home

Hoofdnavigatie

  • Home
  • Wiskunde is overal
Geef de woorden op waarnaar u wilt zoeken.
  1. Home
  2. For business economics
  3. Chapter 5: Optimization
  4. Optimization functions of one variable
  5. Second-order derivative
  6. Example (film)

Example (film)

We determine the second-order derivative of $y(x)=e^{5x}+\textrm{ln}(2x)+8x^3$.

$y'(x)=5e^{5x}+\dfrac{2}{2x}+24x^2=5e^{5x}+x^{-1}+24x^2$.

$y''(x)=25e^{5x}-x^{-2}+48x$.

‹ Vorige paginaSecond-order derivative
Volgende paginaExercise 1 ›
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
      • Monotonicity and derivative
      • Minimum/maximum
      • Stationary point
      • First-order condition extremum
      • Monotonicity condition extremum
      • Alternative monotonicity condition extremum
      • Second-order derivative
        • Example (film)
        • Exercise 1
        • Exercise 2
      • 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

Footer-menu

  • Cookiebeleid en privacy
  • Disclaimer
Wiskunde D leeromgeving