Chapter 7
•
Two types: (1) maximumminimum problems and (2) related rate problems
•
7.2
MaxMin Word Problems
o
Ask you to find the largest or the smallest value a function has on an
interval
o
Steps
Read the problem once over quickly
Read the problem again carefully, until you understand what is
going on
If the problem is a geometry problem, draw a picture and label
what there is to label
Identify in words whether you are maximizing or minimizing, and
what it is exactly that you are maximizing or minimizing
Write the general formula for what it is you are supposed to
maximize or minimize
Look at the problem again carefully to try to get a relationship
between the variables. Write this relationship down as given
Do the algebra to solve for one variable in the given equation as a
function of the other
Use your formula for one variable in terms of the other to rewrite
the formula for what you want to maximize or minimize as a
function of one variable only
Write down the interval over which the above variable can vary,
for the particular word problem you are solving
Take the derivative, and do the algebra to determine where the
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '06
 Chapman
 Calculus, integral sign, dt dy dt, MaxMin Word Problems, particular word problem

Click to edit the document details