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Q3Solutions - 2-5 x-2 4 =-15 x 3 2 x-2 4 3 Let f x = 1 x...

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MAC 2233 Quiz 3 Solutions June 12, 2009 1. Let f be a function which is differentiable at a point x . Write the limit definition of f 0 ( x ), the derivative of f at x . Solution: lim x 0 f ( x + h ) - f ( x ) h 2. Find and simplify f 0 ( x ) if f ( x ) = ( x +3 x - 2 ) 3 . Solution: f 0 ( x ) = 3 ( x +3 x - 2 ) 2 ( ( x - 2) * 1 - ( x +3) * 1 ( x - 2)
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Unformatted text preview: 2 (-5) ( x-2) 4 =-15( x +3) 2 ( x-2) 4 3. Let f ( x ) = 1 x . Find and simplify f 000 ( x ). Solution: f ( x ) = x-1 f ( x ) =-x-2 f 00 ( x ) = 2 x-3 f 000 ( x ) =-6 x-4 =-6 x 4...
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