A little note: Applying the difference quotient rule is tedious and very time-consuming. The reason why you are expected to work through this process is to reinforce the concept of composite functions, average rate of change, and to help you understand how derivatives of a function actually are generated.
Next year, you will be introduced to derivatives and will learn that there is an easier way to find a derivative of a function rather than using the difference quotient rule. The important idea at this moment is knowing that a derivative of a function can be generated using the difference quotient rule and limits.
Luckly for everyone, Isaac Newton and Gottfried Wilhelm Leibniz used limits and the difference quotient rule to find the derivative of a function. You will thank them when you learn how to determine what the derivative of a function is without using the difference quotient rule.
GrAssign - Difference Quotient Rule
~ Download the assignment and show all work on the document
~ You can use Notability to record your work on the above doc.
~ There are 4 pages.
~ Use your tablet to take a picture of your work.
~ Upload your file to Google Classroom.
~ Save as DiffQuot_LastName.
~ Point value: 25 points
Include the following on the first page:
"I pledge my honor, I will not violate Nazareth's Honor Code during this assignment."