Fall 2025 Chapter 3-1 and 3-2 Notes

Class Notes

Topics Covered:

  • Finding the derivative of a power function

  • Finding the derivative of a linear combination of power functions

  • Finding the derivative of a linear combination of power functions and ex

  • Finding higher order derivatives of a linear combination of power functions

  • Finding an equation of the tangent line or normal line to a curve at a point

  • Finding the x-coordinates of points on a curve where the tangent line is horizontal

  • Finding the derivative of a product involving sums of power functions

  • Finding the derivative of a product involving power functions and ex

  • Finding the derivative of a quotient involving sums of power functions

  • Finding the derivative of a quotient involving power functions and ex

  • Applying rules of differentiation given information about two functions

  • Applying the Product and Quotient Rules of differentiation given the graphs of two functions