document.write( "Question 1200748: If f(x) = 10x^(ln(x)), find f'(2) \n" ); document.write( "
Algebra.Com's Answer #834975 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"+f%28x%29+=+10x%5E%28ln%28x%29%29\"\r\n" );
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document.write( "\"ln%28%22f%28x%29%22%5E%22%22%29=ln%2810x%5E%28ln%28x%29%29%29\"\r\n" );
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document.write( "\"ln%28%22f%28x%29%22%5E%22%22%29=ln%2810%29%2Bln%28x%5E%28ln%28x%29%29%29\"\r\n" );
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document.write( "\"ln%28%22f%28x%29%22%5E%22%22%29=ln%2810%29%2Bln%28x%29%2Aln%28x%29%29\"\r\n" );
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document.write( "\"ln%28%22f%28x%29%22%5E%22%22%29=ln%2810%29%2B%28ln%28x%29%29%5E2%29\"\r\n" );
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document.write( "ln(10) is a constant so its derivative is 0.\r\n" );
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document.write( "\"%22f%27%28x%29%22%2F%22f%28x%29%22=2%2Aln%28x%29%2Aexpr%281%2Fx%29%29\"\r\n" );
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document.write( "\"%22f%27%28x%29%22=%22f%28x%29%22%2A2%2Aln%28x%29%2Aexpr%281%2Fx%29%29\"\r\n" );
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document.write( "Substitute original expression for f(x)\r\n" );
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document.write( "\"%22f%27%28x%29%22=10x%5E%28ln%28x%29%29%2A2%2Aln%28x%29%2Aexpr%281%2Fx%29%29\"\r\n" );
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document.write( "\"%22f%27%28x%29%22=20x%5E%28ln%28x%29%29%2Aln%28x%29%2Aexpr%281%2Fx%29%29\"\r\n" );
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document.write( "\"%22f%27%282%29%22=20%282%29%5E%28ln%282%29%29%2Aln%282%29%2Aexpr%281%2F2%29%29\"\r\n" );
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document.write( "\"%22f%27%282%29%22=10%282%29%5E%28ln%282%29%29%2Aln%282%29%29\"\r\n" );
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document.write( "Edwin
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