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Limits and Derivatives

Applied Mathematics · Chapter 15 · Unit 4: Calculus

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Topics 5

  1. Intuitive idea of a limit; left-hand and right-hand limits; existence of a limit; fundamental theorems (statement only)
  2. Limits of algebraic, trigonometric, exponential and logarithmic functions; indeterminate forms
  3. Derivative as rate of change and as slope of the tangent
  4. Differentiation from first principles
  5. Derivatives of sums, differences, products and quotients; polynomial and trigonometric functions