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Unformatted text preview: (a) f ( x ) = (12 x )1 (b) f ( x ) = ( xx 3x 5 ) 4 (c) f ( x ) = [(2 x + 1) 2 + ( x + 1) 2 ] 3 (d) f ( x ) = ± 4 x + 3 5 x2 ² 3 8 (7) Given that f (0) = 1 , f (0) = 2 , f (1) = 0 , f (1) = 1 , f (2) = 1 , f (2) = 1 and g (0) = 2 , g (0) = 1 , g (1) = 1 , g (1) = 0 , g (2) = 2 , f (2) = 1 evaluate the following. (a) ( f ◦ g ) (0) = (b) ( g ◦ f ) (0) = (c) ( f ◦ g ) (1) = (d) ( g ◦ f ) (2) = 9 (8) Find the indicated derivative in terms of f ( x ) (a) d dx [ f ( x 2 + 1)] = (b) d dx ± f ( x )1 f ( x ) + 1 ² = 10 (9) Determine the values of x for which f ( x ) = 0 and f ( x ) > 0. (a) f ( x ) = (1 + x 2 )2 (b) f ( x ) = x (1x 2 ) 3...
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 Spring '09
 N/A
 Calculus, Derivative, Product Rule, #, Polytechnic Institute of NYU MA

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