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The
Difference Quotient
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You probably saw this
semi-obnoxious thing in Algebra... And I know you saw it in
Precalculus. Go back and look at the
Slopes of Lines
lesson again... This thing is just the slope of a line through
the points ( x,
f(x)
) and
( x + h,
f(x
+ h) ). It's going to be
used in the most important Calculus theorems, so you really need to
get comfortable with it. I know right where students get
messed up on these, so let's back up a bit and start with some
basics. We'll build up from there.
You're probably fine with the easy
stuff:
* Remember that parentheses
( )
are REALLY important on these!

TRY IT:
Ha ha... I made you write
"booger." I'm so mature.
| Now do |
 |
(This is
important! Use those parentheses!) |
Continued on the
next
page
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