1001_2.4_Lab_7

1001_2.4_Lab_7 - 2 1. Find " f ( x ) for the...

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CALCULUS 1 LAB 7 NAME: ___________________PARTNER: _________________ 2.4 The Product and Quotient Rules GSA: ______________________Lab Time: ___________ Useful Formulas: from 2.3 and 2.4 1. d dx [ n x ]= 1 ! n nx 2. d dx [c] = 0 3. d dx [ ) ( x cf ]= c d dx [ f ( x )] = c " f ( x ) 4. d dx [ f ( x ) ± g ( x ) ]= d dx [ f ( x )] ± d dx [ g ( x )] = " f ( x ) ± " g ( x ) 5. d 2 dx 2 y ( ) = d 2 y dx 2 = f (2) ( x ) = " " f ( x ) = " f ( x ) ( ) " 6. d n dx n y ( ) = d n y dx n = f ( n ) ( x ) Product Rule: d dx [ f ( x ) g ( x )] = f ( x ) d dx [ g ( x )] + g ( x ) d dx [ f ( x )] = f " g + g " f ; d dx ( uv ) = u dv dx + v du dx = u " v + v " u Quotient Rule: d dx [ f ( x ) g ( x ) ] = g ( x ) d dx [ f ( x )] " f ( x ) d dx [ g ( x )] [ g ( x )] 2 = g " f # f " g g
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Unformatted text preview: 2 1. Find " f ( x ) for the following: (a) f ( x ) = (2 x 3 + 9 x )(4 x + 1) (b) ) 1 8 3 )( 2 7 ( ) ( 7 2 3 ! + ! + = x x x x x x f 2. Find dy dx for y = (9 x " 2 x )(3 x 9 + x ) and dy dx x = 1 . 3. Find dy dx for y = 12 x 3 + 3 x 7 x 2 + 1 x . 4. Find dy dx for y = 3 x " 4 x 6 x 3 + 30 x and dy dx x = 1 ....
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This note was uploaded on 02/21/2012 for the course MATH 1001 taught by Professor Dr.shaw during the Spring '11 term at FIT.

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