13112an3.4-6

13112an3.4-6 - c Kendra Kilmer February 3, 2012 Section 3.2...

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c c Kendra Kilmer February 3, 2012 Section 3.2 - The Product and Quotient Rules Product Rule: If h ( x ) = f ( x ) · g ( x ) and if f ( x ) and g ( x ) exists, then Quotient Rule: If h ( x ) = f ( x ) g ( x ) and if f ( x ) and g ( x ) exist, then Example 1: Find the derivative of the following functions a) f ( x ) = x 2 ( x 2 + 4 x ) b) g ( x ) = x 2 + 5 3 x c) h ( x ) = ( x 2 + 3 )( 4 x + 8 x 3 ) d) k ( x ) = 3 x + 7 x x 2 4 x + 1 x 4
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c c Kendra Kilmer February 3, 2012 e) F ( x ) = 5 x 4 e x f) g ( x ) = x 2 e x + 5 7 e x Example 2: Find the equation of the tangent line to f ( x ) = x 2 + 1 3 x 3 4 x 2 + 2 at x = 2. 5
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c c Kendra Kilmer February 3, 2012 Example 3: Suppose that f ( 2 ) = 1, g ( 2 ) = 3, f ( 2 ) = 4, and g ( 2 ) = 6. Find h ( 2 ) for each of the following:
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This note was uploaded on 04/01/2012 for the course MATH 131 taught by Professor Allen during the Fall '08 term at Texas A&M.

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13112an3.4-6 - c Kendra Kilmer February 3, 2012 Section 3.2...

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