Unformatted text preview: but possibly introduce them in the denominator. Example 3 (Rationalizing a Numerator) Reexpress x + h ± x h by rationalizing the numerator. • This expression is an example of a difference quotient (see Section 1.10). Rationalizing the numerator will help us find a derivative (see Section 1.11). § Solution We will multiply the numerator and the denominator by x + h + x , the conjugate of x + h ± x . x + h ± x h = x + h ± x ( ) h ² x + h + x ( ) x + h + x ( ) To multiply out the numerator, we use the rule: a ± b ( ) a + b ( ) = a 2 ± b 2 ....
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This document was uploaded on 12/29/2011.
 Spring '09
 Radicals, Exponents

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