document.write( "Question 15182: Where do I start? I am so lost... here is the problem...\r
\n" ); document.write( "\n" ); document.write( "Given f(x)=6x^2 + 5x - 4 find [f(x+h)-f(x)] / h
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Algebra.Com's Answer #7559 by wgunther(43) $\"\"$ $\"About$

You can put this solution on YOUR website!
okay $\"f%28x%29=6x%5E2+%2B+5x+-+4+\"$ \r
\n" ); document.write( "\n" ); document.write( "x is just the dependent variable. you can just as easily say \r
\n" ); document.write( "\n" ); document.write( " $\"f%28a%29=6a%5E2+%2B+5a+-+4\"$ \r
\n" ); document.write( "\n" ); document.write( "or \r
\n" ); document.write( "\n" ); document.write( " $\"f%282%29=6%282%29%5E2+%2B+5%282%29+-+4\"$ \r
\n" ); document.write( "\n" ); document.write( "That's just input. Now, the problem you are asking is VERY important for later mathematics, so spend some time trying to understand it for sure. \r
\n" ); document.write( "\n" ); document.write( " $\"+%28f%28x%2Bh%29-f%28x%29%29+%2F+h\"$ \r
\n" ); document.write( "\n" ); document.write( "so
\n" ); document.write( " $\"+%28%286%28x%2Bh%29%5E2+%2B+5%28x%2Bh%29+-+4%29-%286x%5E2+%2B+5x+-+4%29%29%2Fh+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%28+6%28x%5E2+%2B+2xh+%2B+h%5E2%29+%2B+5x+%2B+5h+-+4+-+6x%5E2+-+5x+%2B+4%29%2Fh+\"$ \r
\n" ); document.write( "\n" ); document.write( "REMEBER TO DISTRIBUTE NEGATIVE IN SECOND TERM!
\n" ); document.write( " $\"+%28+6x%5E2%2B12xh%2B6h%5E2+%2B+5x+%2B+5h+-+4+-+6x%5E2+-+5x+%2B+4%29%2Fh+\"$
\n" ); document.write( "Combined any common terms (6x^2-6x^2=0, 5x-5x=0 -4+4=0)
\n" ); document.write( " $\"+%28+12xh+%2B+6h%5E2+%2B+5h%29%2Fh+\"$
\n" ); document.write( "Factor out and cancel out h
\n" ); document.write( " $\"+%28+h%2812x+%2B+6h+%2B+5%29%29%2Fh+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"++12x+%2B+6h+%2B+5+\"$ \r
\n" ); document.write( "\n" ); document.write( "Like I said, this is a very important thing for later mathematical concept. It's called the difference quotient. \n" ); document.write( "

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