Class 12 Maths · Chapter 6 · CBSE / NCERT

Application of Derivatives

What derivatives are for. You’ll learn rates of change, where a function rises or falls, local maxima and minima, and how to find the best value in a real problem.

12 short lessons · about 56 minutes in all

What you’ll learn

  1. 1The derivative as a rate of change4 min
  2. 3Marginal cost and marginal revenue4 min
  3. 4What increasing and decreasing mean4 min
  4. 5Using the derivative to find where a function rises or falls5 min
  5. 6The greatest and least value of a function4 min
  6. 7Hills, valleys and critical points5 min
  7. 8First derivative test: read the slope on both sides5 min
  8. 9Second derivative test: smile or frown5 min
  9. 10Greatest and least values on a closed interval5 min
  10. 11Optimisation: from words to one function5 min
  11. 12Optimisation with shapes: the biggest box5 min

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The derivative as a rate of change · about 4 minutes

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