This Desmos graph allows you graphically investigate the relationship between epsilon and delta when considering the formal definition of limit. There are two accompanying videos on the YouTube page: Video 1.2a explains the interpretation of epsilon, delta, and how you can make sense of the formal definition of limit. Video 1.2b shows how to solve…

# Author: admin

## Limits from a graph (1.1)

This Desmos link shows what is happening graphically when you construct a table of values to investigate a limit. Desmos is also very useful for quickly evaluating functions at several inputs (just define f(x)=……, and then type f(0.01), f(0.001), etc. in lines below it).

## Average Rate of Change (AROC) (0.1)

This Desmos graph gives an interactive way to think about average rates of change in the context of examples from physics and economics. You should try changing the definition of the function, and see how you can interpret the examples in that case.

## Piecewise Functions (0.1)

This Desmos graph shows you how to graph piecewise functions in Desmos. You can also experiment with the slope and intercept of a line piece, and try to connect it to a parabola piece in a smooth way.

## Graph Transformations (0.2)

At this Desmos page, you can experiment with different choices of the function, and see the effect of each standard transformation of the function has on its graph.

## Derivative Rules Handout

The above PDF handout has a comprehensive list of the derivatives of the essential elementary functions, as well as the rules, from which the derivative of any elementary function can be calculated by hand. Although we will derive almost all of these statements in class, they are – perhaps more than anything else in the…

## Precalculus Review Problems

The above PDF handout has a list of problems that should help you recall and review important ideas and methods from algebra, trigonometry, and precalculus generally. Please consult Chapter 0 of the text and seek help during your instructor’s office hours or at the Math Tutoring Center whenever you have questions.

## Introduction to Desmos

At this Demos page, you will be introduced to the way Desmos uses function notation and sliders to make graphs.