Learn · Basic Calculus 1 and 2

Lecture 8 of 40Week 2: Continuity and Differentiation of functions

Lecture 8: Differentiation

Prof. Parasar Mohanty · IIT Kanpur

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From
Basic Calculus 1 and 2, IIT Kanpur (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Lecture 1: Real numbers and Archimedean property Video
  2. Lecture 2: Supremum and Decimal representation of Reals Video
  3. Lecture 3: Functions Video
  4. Lecture 4: Functions continued and Limits Video
  5. Lecture 5: Limits continued. Video
  6. Lecture 6: Limits (continued) and Continuity Video
  7. Lecture 7: Continuity and Intermediate Value Property Video
  8. Lecture 8: Differentiation Video
  9. Lecture 9: Chain Rule Video
  10. Lecture 10: Nth derivative of a function Video
  11. Lecture 11: Local extrema and Rolle's theorem Video
  12. Lecture 12: Mean value theorem and Monotone functions Video
  13. Lecture 13: Local extremum tests Video
  14. Lecture 14: Concavity and points of inflection Video
  15. Lecture 15: Asymptotes and plotting graph of functions. Video
  16. Lecture 16: Optimization and L'Hospital Rule Video
  17. Lecture 17: L'Hospital Rule continued and Cauchy Mean value theorem Video
  18. Lecture 18: Approximation of Roots Video
  19. Lecture 19: Antiderivative and Riemann Integration Video
  20. Lecture 20: Riemann's criterion for Integrability Video
  21. Lecture 21: Integration and its properties Video
  22. Lecture 22: Area and Mean value theorem for integrals Video
  23. Lecture 23: Fundamental theorem of Calculus Video
  24. Lecture 24: Integration by parts and Trapezoidal rule Video
  25. Lecture 25: Simpson's rule and Substitution in integrals Video
  26. Lecture 26: Area between curves Video
  27. Lecture 27: Arc Length and Parametric curves Video
  28. Lecture 28: Polar Co-ordinates Video
  29. Lecture 29: Area of curves in polar coordinates Video
  30. Lesson 30: Volume of solids Video
  31. Lecture 31: Improper Integrals Video
  32. Lecture 32: Sequences Video
  33. Lecture 33: Algebra of sequences and Sandwich theorem Video
  34. Lecture 34: Subsequences Video
  35. Lecture 35: Series Video
  36. Lecture 36: Comparison tests for Series Video
  37. Lecture 37: Ratio and Root test for series Video
  38. Lecture 38: Integral test and Leibniz test for series Video
  39. Lecture 39: Revision I Video
  40. Lecture 40: Revision II Video