Fall 2025 Chapter 2-7 and 2-8 Notes

Class Notes

Topics Covered

  • Finding a derivative at a given number by simplifying a difference quotient

  • Relating information about a function and its derivative to the equation of a tangent line

  • Interpreting the graph of a function to order the values of its derivative at several values

  • Understanding instantaneous and average rates of change

  • Finding a derivative by simplifying a difference quotient

  • Graphing the derivative of a piecewise linear function

  • Matching the graph of a function with the graph of its derivative

  • Finding a derivative by simplifying a difference quotient

  • Interpreting the graph of a function to analyze whether or not it is differentiable at various x-values

  • Analyzing points on the graph of a function for differentiability