Class Info

  • Date: Mon, Sept 11
  • Meeting Info: 12p-1:40p, N700

Topics

  • Introduced “delta y over delta x” notation for slope of the secant line:
  • Examples from WebWork “Derivatives – Limit Definition”:
    • Went through guiding text in WebWork exercises:
    • Note: what in this WebWork set is called “instantaneous slope” is also called the “instantaneous rate of change” and is “the slope of the tangent line at x=a”
      • this is what we will call the derivative of f at x = a, for which we will use the notation f'(a)
    • Revisited this figure and discussed in context of new notation:
    • Went through Derivatives – Limit Definition: Problem 1:
    • We went one step further and found the equation of the tangent line to f(x) at that point – using the point-slope form (since we were given the point and calculated the slope!)
    • See the Desmos graph illustrating this example here: https://www.desmos.com/calculator/kfllhpu38j
    • Derivatives – Limit Definition: Problem 2:

To-Do After Class