Fall 2025 Chapter 2-7 and 2-8 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