Cool math fractal

math image

math image

pre-algebra help lessonsalgebra help lessonsprecalculus / calculus help lessonsmath anxiety survival guidegeometry math artmath and jigsaw puzzlesCoolmath booksother math stuff
math help lessonsmath practice problemsmath gamesmath dictionarygeometry trigonometry reference area
teacher's areaparent's areaCoolmath 4 kidsSpike's Game ZoneFinance FREAKTotally Stressed OutScience Monster
Coolmath Algebra
Functions Lesson 8 - The Difference Quotient (page 2 of 3)
---- This algebra lesson explains how to find the difference quotient

math image
Now available: Coolmath Algebra books! Part 1, Part 2 and Part 3 covering the Algebra you need from Algebra 1 through Precalculus Algebra (Beginning Algebra through College Algebra)

other Coolmath Books: Coolmath Precalculus Review (the math you really need to survive Calculus 1) and Math Survival Guide (How to conquer math and deal with math anxiety)
line
Graphing Calculator Scientific Calculator << a new window will open for these
line

Let's start working this thing out.  Here's the original function:

f( x ) = x + 2

Here are the pieces:

1 ) f( x + h ) :

Do the blob thang! f( blob ) = ( blob ) + 2

So f( x + h ) = ( x + h ) + 2 ... = x + h + 2 ... we don't need the ( ) here

2 ) -f( x ) :

This is just subtracting the original function

-f( x + 2 ) ... ( ) is important!

3 ) Just stick an h under everything and clean up that bad boy!

Here we go!

f( x + h ) - f( x ) / h = [ x + h + 2 ] - ( x + 2 ) / h ... the [ x + h + 2 ] is f( x + h ) ... the ( x + 2 ) is f( x ) ... clean it up! ... = x + h + 2 - x - 2 / h = h / h = 1

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.
line
Graphing Calculator Scientific Calculator << a new window will open for these
line

.....:::::::::::::::  HELP SUPPORT COOLMATH  :::::::::::::::.....
:::::::  link to us   :::::::   advertise with us  :::::::  why we have ads  :::::::

Thanks for visiting Coolmath.com
© 1997-2010 Coolmath.com, Inc.