document.write( "Question 348960: graph each function. find any local maxima or minima to the nearest tenth. find intervals over which the function is increasing.\r
\n" ); document.write( "\n" ); document.write( "p(x)=4x^3-3x^2+2,-6≤x≤6 \n" ); document.write( "

Algebra.Com's Answer #249527 by Fombitz(32388) $\"\"$ $\"About$

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$\"graph%28300%2C300%2C-7%2C7%2C-20%2C20%2C4x%5E3-3x%5E2%2B2%29\"$ \r
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\n" ); document.write( "The derivative of p(x) is,
\n" ); document.write( " $\"dp%2Fdx=12x%5E2-6x\"$
\n" ); document.write( "The derivative equals zero when,
\n" ); document.write( " $\"12x%5E2-6x=0\"$
\n" ); document.write( " $\"6x%282x-1%29=0\"$
\n" ); document.write( "Two solutions,
\n" ); document.write( " $\"x=0\"$ where $\"p%28x%29=4%280%29%5E3-3%280%29%5E2%2B2=2\"$
\n" ); document.write( "Local maxima
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\n" ); document.write( " $\"2x-1=0\"$
\n" ); document.write( " $\"2x=1\"$
\n" ); document.write( " $\"x=1%2F2\"$ where $\"p%28x%29=4%281%2F2%29%5E3-3%281%2F2%29%5E2%2B2=4%2F8-3%2F4%2B2=7%2F4\"$
\n" ); document.write( "Local minima
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\n" ); document.write( "From the graph you can pick out the intervals where the function is increasing and decreasing.\r
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