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 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.
Lucky 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."