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14209an4.5-6 - 3 x 5 x 2 log 7 x-9 x 8 Example 2 Find the...

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c Kendra Kilmer February 27, 2009 Section 4.3 - Derivatives of Products and Quotients Product Rule: If h ( x ) = f ( x ) · g ( x ) and if f 0 ( x ) and g 0 ( x ) exists, then Quotient Rule: If h ( x ) = f ( x ) g ( x ) and if f 0 ( x ) and g 0 ( 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 ) 5
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c Kendra Kilmer February 27, 2009 d) k ( x ) = 3 x + 7 x x 2 - 4 x + 1 x e) F ( x ) = 5 x 4 e x f) G ( x ) =
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Unformatted text preview: ( 3 ) x + 5 x 2 log 7 x-9 x 8 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. Section 4.3 Homework Problems: 3,7,9,11,19,23,25,31,35,37,41,45,47,51,55,61,63,67,69,75,77,81,83 and supplemental problems 6...
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