Introduction to derivatives

Learning objectives

  • Interpret and use a derivative as a multiplier with units
  • Use the multiplier equation \Delta y \approx (dy/dx) \Delta x for y=f(x) and  small \Delta x
  • Make numerical approximations of derivatives
  • Use a derivative in applied contexts (local linear approximation)
  • Consult the main points of the lesson

Before class

  • Read Hughes-Hallett 2.1, 2.2, 2.3(skip relative rate of change).
  • Ponder problems 2.1. 1, 2, 4, 6, 8, 24; 2.2 3, 4; 2.3. 4, 6 10, 18, 37-41.

In class

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