document.write( "Question 1131246: Find the deivative using the increment steps.
\n" ); document.write( "1. Y = (x^2 - 7)/(x^2 + 3)
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Algebra.Com's Answer #747875 by greenestamps(13198)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "We COULD do this:

\n" ); document.write( "limit as h goes to 0 of (1/h)* \"%28%28x%2Bh%29%5E2-7%29%2F%28%28x%2Bh%29%5E2%2B3%29-%28x%5E2-7%29%2F%28x%5E2%2B3%29\".

\n" ); document.write( "But finding the derivative is going to be somewhat less work if we rewrite the function as

\n" ); document.write( "\"f%28x%29+=+1-10%2F%28x%5E2%2B3%29\"

\n" ); document.write( "Then to find the derivative using increment steps, we do

\n" ); document.write( "limit as h goes to 0 of (1/h)*\"%28%281-10%2F%28%28x%2Bh%29%5E2%2B3%29%29-%281-10%2F%28x%5E2%2B3%29%29%29\"

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\n" ); document.write( "Then 1/h* \"10%28%282xh%2Bh%5E2%29%2F%28%28x%5E2%2B3%29%28%28x%2Bh%29%5E2%2B3%29%29%29\" = \"10%28%282x%2Bh%29%2F%28%28x%5E2%2B3%29%28%28x%2Bh%29%5E2%2B3%29%29%29\"

\n" ); document.write( "And finally

\n" ); document.write( "limit as h goes to 0 of \"10%28%282x%2Bh%29%2F%28%28x%5E2%2B3%29%28%28x%2Bh%29%5E2%2B3%29%29%29\" = \"20x%2F%28x%5E2%2B3%29%5E2\"

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