Math 1441 Introduction to Maple Name:
Lab #3 Basic Derivatives Date:
Instructions for ALL LAB REPORTS this semester:
You must write down all commands that you enter in the computer, unless the command was given to you in
the lab worksheet. You must also write down all output given by the computer, unless otherwise instructed.
Once a new command is introduced in a lab session, you are responsible for the command in subsequent labs.
Hint: The command simplify (diff(f(x),x)); may be helpful in some of the examples.
Part One
Simple Derivatives with Maple
1. Use the following commands to define the function
€
f(x) = x
4
− x
3
and find
€
f'(x)
using Maple.
f:=x->x^4-x^3;
diff(f(x),x);
2. Consider the function
€
f(x) = x
. Find
€
f'(x)
using Maple.
3. Consider the function
€
f(x) = 3
x
6
. Find
€
f'(x)
using Maple
4. Consider the function
€
f(x) = (x
2
+1)(x
3
− 3x
2
− 5)
. Find
€
f'(x)
using Maple.
5. Consider the function
€
f(x) = 3x − 2
x
2
− 4
. Find
€
f'(x)
using Maple.
