Fall 2025 Chapter 3-6

Class Notes

Topics Covered

  • Finding the derivative of a combination of logarithmic and algebraic functions

  • Finding the derivative of a composition involving logarithmic and trigonometric functions

  • Finding a derivative using logarithmic differentiation

  • Finding the derivative of the six basic inverse trigonometric functions

  • Finding the derivative of a composition involving an inverse trigonometric function and an algebraic function

Fall 2025 Chapter 3-3

Class Notes

Topics Covered:

  • Finding the derivatives of the six basic trigonometric functions

  • Finding the derivative of a function involving sine or cosine

  • Finding higher order derivatives of functions involving sine and cosine

  • Finding the derivative of a composition of algebraic functions

  • Finding the derivative of a composition of functions: Exponential

  • Using a combination of the Chain, Product, and Quotient Rules to find a derivative

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

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

Fall 2025 Chapter 2-5 Notes

Class Notes

Topics Covered:

  • Determining points of discontinuity from a graph

  • Evaluating a limit involving a continuous function composed with another function

  • Finding a removable discontinuity and writing a function that is continuous at that discontinuity

  • Determining a parameter to make a function continuous

  • Determining if the Intermediate Value Theorem can be applied to show that an equation has a solution in an interval

  • Finding a limit of a trigonometric function by using continuity

Fall 2025 First Day of Class

Welcome to the Fall 2025 Semester.

Office Hours will be held on Tuesday and Thursday from 2:30 to 5:00 in room E206.

Here is the syllabus - Fall 2025 MATH2600 Syllabus

In the syllabus you will find the grading policy and the important dates. You will also find the financial aid code which will give you 2 weeks to get your ALEKS code. You do not need the physical book unless you want it all you need is the code and it will give you access to the e-book.

Your Class Code is: TLJDX-PEUCE