Now take a look at the following three functions f x x 2x 1

Last updated: 8/8/2023

Now take a look at the following three functions f x x 2x 1 500 g x x 0 X k x x 21 For each function do the following 1 Compute the derivative that is the derivative function by evaluating the limit for f x h f x example limo h Show your work Notice that for the function k x you ll have to compute the limit differently depending on whether x 2 or x 2 and you ll end up with a piecewise function for the derivative Since the graph of k x is made of straight lines you can also find its derivative by looking at the actual slopes 2 Graph the derivative f x on your calculator by assigning it to the function Y Draw the graphs that you create on your calculator Make sure to label and submit them alon with the rest of the assignment 3 Graph the function Y nDeriv original function X X By doing this you re having the calculator evaluate the derivative numerically at each point and graph the results 4 Discuss how the two graphs are the same or different Zoom in and out to find places where the graphs differ A good idea is to set Y3 Y2 Y deselect but don t erase the functions Y and Y2 and look at the graph of Y3 Discuss what this illustrates and see if it helps you in your comparison Discuss the things you did in order to compare the two graphs After you ve done these things for each of the three functions make a final comment about when the graph made by nDeriv was most or least accurate Try to come up with a general comment such as Dori