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  • Limits and Continuity
  • The Derivative
  • Techniques of Differentiation
  • Applications of the Derivative
  • Antiderivatives and Differential Equations
  • The Definite Integral

Applications of the Derivative

Applications of the Derivative identifies was that this concept is used in everyday life such as determining concavity, curve sketching and optimization.

  • Intervals of Increase and Decrease

  • Critical Points

  • Relative Maxima and Minima

  • The First Derivative Test for Relative Maximum and Minimum

  • Concavity and Inflection Points

  • The Second Derivative Test for Relative Maximum and Minimum

  • Curve Sketching with Derivatives

  • Optimization Using the Closed Interval Method

  • Optimization Using the First Derivative Test

  • Optimization Using the Second Derivative Test

  • Economics: Cost & Revenue

  • Economics: Marginal Cost & Revenue

  • Optimization Problems: Applications to Economics

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