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

The Derivative

The Derivative is one of the key concepts in Calculus. This unit explores the definitions of the derivative plus the derivatives of various types of functions.

  • Average Velocity

  • Average Rate of Change

  • Instantaneous Velocity

  • Instantaneous Rate of Change

  • The Definition of the Derivative

  • The Derivative Function

  • Derivative Notation

  • Derivatives of Linear Functions

  • Derivatives of Power Functions

  • Derivatives of Polynomial Functions

  • An Important Limit

  • Derivatives of Exponential Functions

  • Derivatives of Logarithmic Functions

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