THE DERIVATIVE~
Average & Instantaneous Rates of Change
To find the average rate of change over interval an [a,b], we can use the basic formula:
It's giving... slope formula (like Algebra 1)
Getting a little more percise, we can use the difference quotient:
Now, let's get more calculus-y, we want the exact slope at a certain point: the instantaneous rate of change
To do this, use a difference quotient but we'll make the points suuper close together using your FAVORITE thing ever, a limit!