handout_09_30

handout_09_30 - 1. On which intervals is g ( x )...

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The derivative function September 30, 2009 1. Let f ( x ) = x ( x - 1)( x - 2) = x 3 - 3 x 2 + 2 x. Determine f 0 ( x ) using the limit definition. Sketch f ( x ) and f 0 ( x ), and compare the graphs. 2. Let h ( x ) = | x - 1 | + | x + 1 | . On what intervals is h ( x ) continuous? What about differentiable? Sketch h ( x ) and its derivative. Do the same for i ( x ) = x . 1
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3. The graph of the function g ( x ) is shown below.
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Unformatted text preview: 1. On which intervals is g ( x ) continuous? 2. On which intervals is g ( x ) dierentiable? 3. Sketch the derivative g ( x ) on the axes below.-2-1.5-1-0.5 0.5 1 1.5 2 x-2-1.5-1-0.5 0.5 1 1.5 2 y-2-1.5-1-0.5 0.5 1 1.5 2 x-2-1.5-1-0.5 0.5 1 1.5 2 y 2...
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This note was uploaded on 03/27/2012 for the course MATH 1a taught by Professor Benedictgross during the Fall '09 term at Harvard.

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handout_09_30 - 1. On which intervals is g ( x )...

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