Skip to content
AlphaPrepAcademy
← back to module list

Calculus

The Derivative and Its Applications

This is a lesson from the Studienkolleg entrance exam preparation course. The full theory, worked examples and practice tasks unlock after you log in with paid access.

What is in this lesson

  1. 01BASIC DIFFERENTIATION RULES (Ableitungsregeln)
  2. 02KURVENDISKUSSION: THE ALGORITHM FOR SUCCESS (Kurvendiskussion)
  3. 03KEY FUNCTIONS AND THEIR DERIVATIVES
  4. 04IMPORTANT NOTES (Wichtige Hinweise) ⚠️
  5. 05COMMON MISTAKES 🛑
  6. 06THE DERIVATIVE AS A "SPEEDOMETER" AND "LOCATOR"
  7. 07What is a derivative, really?
  8. 08How to find the "peaks" and "pits" (Extrempunkte)?
  9. 09What is an "inflection" (Wendepunkt)?
  10. 10Main rules for analyzing a function (Gesetze)
  11. 11Why does this matter for the exam (FSP)?

Login required

To open this material, log in or create an account.

Log inSign up

Try a free lesson →