document.write( "Question 1189549: Find the derivative of log base 6 (x^2-7x) \n" ); document.write( "
Algebra.Com's Answer #820953 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Find the derivative of \"log+%286%2C+%28x%5E2-7x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28d%2Fdx%29%28log+%286%2C+%28x%5E2-7x%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "apply log rule: \"log%28a%2C%28b%29%29=ln%28b%29%2Fln%28a%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"%28d%2Fdx%29%28%28ln%28x%5E2-7x%29%29%2Fln%286%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "take the constant out: \"%28a%2Af%29\"'=\"a\"*\"f\"’\r
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\n" ); document.write( "\n" ); document.write( "=\"%281%2Fln%286%29%29%28d%2Fdx%29%28ln%28x%5E2-7x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "apply the chain rule: \"%281%2F%28x%5E2-7x%29%29%28d%2Fdx%29%28x%5E2-7x%29\"\r
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\n" ); document.write( "\n" ); document.write( "and since \"%28d%2Fdx%29%28x%5E2-7x%29=2x-7\"\r
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\n" ); document.write( "\n" ); document.write( "you have\r
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\n" ); document.write( "\n" ); document.write( "=\"%281%2Fln%286%29%29%281%2F%28x%5E2-7x%29%29%282x-7%29\".............simplify\r
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\n" ); document.write( "\n" ); document.write( "=\"%282x-7%29%2F%28ln%286%29%28x%5E2-7x%29%29\" -> your answer\r
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