document.write( "Question 365178: determine the function's difference quotient t(x)=x^3+2 \n" ); document.write( "

Algebra.Com's Answer #260390 by Edwin McCravy(20059) $\"\"$ $\"About$

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document.write( "Difference quotient = \r\n" );
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document.write( "First calculate t(x+h)\r\n" );
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document.write( "t(x) = x³ + 2\r\n" );
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document.write( "t(x+h) = (x+h)³ + 2 = (x+h)(x+h)(x+h) + 2 = (x+h)(x²+2hx+h²) + 2 =\r\n" );
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document.write( "x³ + 2hx² + h²x + hx² + 2h²x + h² + 2 =\r\n" );
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document.write( "x³ + 3hx² + 3h²x + h³ + 2\r\n" );
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document.write( "Now substitute  for \r\n" );
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document.write( "and  for \r\n" );
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document.write( "in the difference quotient expression:\r\n" );
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document.write( "Remove the parentheses on top:\r\n" );
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document.write( "Cancel the x³ with the -x³ and the +2 with the -2:\r\n" );
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document.write( "Factor h out of the top:\r\n" );
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document.write( "Cancel the h's\r\n" );
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document.write( "That's it!\r\n" );
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document.write( "Edwin

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