Survey of Calculus Solution Sheets
Page for Survey of Calculus Supplemental Instruction
Table of Contents
- Solution Sheets
- Wksht1: Limit Evaluation
- Wksht 2: Limit of Piecewise functions
- Wksht 3: Equation of Tangent Line
- Wksht4: Equation of Tangent Line (roots)
- Wksht 5: Derivative Application to Demand
- Optimization
- The Big Picture
- Unit 1: Limits and Rates of Change
- Average Rate of Change
Wksht1: Limit Evaluation
Exercise
What this question is asking
This question is asking, for the function [math]y=\frac{x^3-3x^2}{x-3}[/math], as [math]x[/math] gets really close to 3, but not quite 3, what is the [math]y[/math]-value that the function is nearing?
Notice that f(3) is undefined! Move the slider to either side of 3 to see what the trend in y-values is.
Question
What is the limit? (Check your answer with the "Check" button at the bottom of the page)
Here's a video!
Solution
Average Rate of Change
[size=150][color=#ff0000][b][justify]Simply put, the [u]average rate of change between two points[/u] is the slope between the two points.[/justify][/b][/color][/size]