CBSE · Class 11 · Mathematics · Chapter 12

Limits and Derivatives

Introduction to limits and differentiation.

8 lessons 95 min
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Lessons in this chapter

  1. 1Rates of Change and Tangent SlopesUse a falling body to discover why an instantaneous rate needs a limiting process.
  2. 2Understanding Limits from Both SidesRead tables and graphs to decide what a function approaches, even when its value at the point is different.
  3. 3Evaluating Algebraic LimitsUse limit laws and justified simplification to calculate polynomial and rational limits.
  4. 4Trigonometric Limits and the Squeeze IdeaUse geometric bounds to establish the limits that later make trigonometric differentiation possible.
  5. 5Derivatives from First PrinciplesTurn the limiting rate idea into a definition and calculate derivatives step by step.
  6. 6Derivative Rules and Algebraic FunctionsDerive the power rule and combine differentiation rules to handle algebraic expressions efficiently.
  7. 7Trigonometric Derivatives and Mixed FunctionsBuild trigonometric derivatives from standard limits and combine them with algebraic differentiation.
  8. 8Chapter Summary and PracticeConnect limits, rates, tangent slopes, and differentiation methods across the complete chapter.
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