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Coolmath Precalculus Review Calculus Preview
Lesson 24 - Tools - The Difference Quotient (page 3 of 4)
---- This Precalculus review (Calculus preview) lesson reviews the difference quotient and gives an intro to how it is used in Calculus.

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Here's another one:

Given

Do the

part first!

f( x + h ) = 5( x + h ) - 2( x + h )^2 = 5x + 5h - 2x^2 - 4xh - 2h^2

( f( x + h ) - f( x ) ) / h = ( ( 5x + 5h - 2x^2 - 4xh - 2h^2 )( 5x - 2x^2 ) ) / h = ( 5x + 5h - 2x^2 - 4xh - 2h^2 - 5x + 2x^2 ) / h ... the 5x's and the 2x^2's cancel out ... ( 5h - 4xh - 2h^2 ) / h = ( h( 5 - 4x - 2h ) ) / h = 5 - 4x - 2h

YOUR TURN:

Given

Find

( f( x + h ) - f ( x ) ) / h

Continued on the next page

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