MATH 164, Spring 2001 Due Date: Name(s):
Extra Project 7.4c: Exponential and Logarithmic Functions
Objective
To compare the behavior of various exponential and logarithmic functions.
Narrative
If you have not already done so, read Section 7.4 in the text.
In this project you will use the plot command to plot several functions on one set of coordinate axes.
Tasks
1. Type the command lines below into Maple in the order in which they are listed. These commands
produce graphs of various exponential and logarithmic functions.
> # Project 7.4c: Exponential and Logarithmic Functions
> restart;
> plot({ln(x),exp(x),x},x=-3..5,y=-3..5,scaling=constrained);
> plot({ln(x),ln(2*x),ln(x/2),ln(x^2)},x=0..6);
> plot({exp(x),exp(-x),exp(2*x),2*exp(x)},x=-3..3,y=-1..30);
> plot({exp(x),exp(-x),exp(2*x),2*exp(x)},x=-3..3,y=-1..30,scaling=constrained);
> f := x -> exp(sin(5*x));
> diff(f(x),x);
> plot({f(x),diff(f(x),x)},x=-2..2);
At this point, make a hard-copy of your typed input and Maple's responses (both text and graphics).
Then, ...
2. Label by hand each of the curves in each of the graphics you created in part (1).