document.write( "Question 58211: I need some help please\r
\n" ); document.write( "\n" ); document.write( "f(x)=3x^2-5x+2, find [f(x+h)-f(x)}/h]\r
\n" ); document.write( "\n" ); document.write( "please help\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #39817 by hayek(51) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, find f(x+h):
\n" ); document.write( " $\"f%28x%2Bh%29=3%28x%2Bh%29%5E2-5%28x%2Bh%29%2B2\"$
\n" ); document.write( " $\"f%28x%2Bh%29=3%28x%5E2%2B2xh%2Bh%5E2%29-5x-5h%2B2\"$
\n" ); document.write( " $\"f%28x%2Bh%29=3x%5E2%2B6hx%2B3h%5E2-5x-5h%2B2\"$
\n" ); document.write( " $\"f%28x%2Bh%29=highlight%283x%5E2%2B%286h-5%29x%2B%283h%5E2-5h%2B2%29%29\"$
\n" ); document.write( "Now write the problem:
\n" ); document.write( " $\"%28f%28x%2Bh%29-f%28x%29%29%2Fh\"$ = $\"%28highlight%283x%5E2%2B%286h-5%29x%2B%283h%5E2-5h%2B2%29%29-%283x%5E2-5x%2B2%29%29%2Fh\"$
\n" ); document.write( "= $\"%28cross%283x%5E2%29%2B%286h-5%29x%2B%283h%5E2-5h%2B2%29-cross%283x%5E2%29%2B5x-2%29%2Fh\"$
\n" ); document.write( "= $\"%28%286h-5%2B5%29x%2B%283h%5E2-5h%2B2-2%29%29%2Fh\"$
\n" ); document.write( "= $\"%286hx%2B3h%5E2-5h%29%2Fh\"$
\n" ); document.write( " $\"highlight%28%28f%28x%2Bh%29-f%28x%29%29%2Fh=6x-5%2B3h%29\"$
\n" ); document.write( "-----
\n" ); document.write( "Note that when you take the limit as h nears 0, you have the formula for the slope of the curve at each point (x) along the curve. \n" ); document.write( "

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