document.write( "Question 1183844: Evaluate dy/dx when x=-1 given, y=(x+2)^x \n" ); document.write( "
Algebra.Com's Answer #814319 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"+y=%28x%2B2%29%5Ex\"\r\n" );
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document.write( "Take natural logs of both sides:\r\n" );
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document.write( "\"+ln%28y%29=ln%28%28x%2B2%29%5Ex%29\"\r\n" );
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document.write( "\"+ln%28y%29=x%2Aln%28x%2B2%29\"\r\n" );
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document.write( "\"%22y%27%22%2Fy=x%2A%281%2F%28x%2B2%29%29%2Bln%28x%2B2%29%2A1\"\r\n" );
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document.write( "\"%22y%27%22%2Fy=x%2F%28x%2B2%29%2Bln%28x%2B2%29\"\r\n" );
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document.write( "\"%22y%27%22=y%2A%28x%2F%28x%2B2%29%2Bln%28x%2B2%29%29\"\r\n" );
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document.write( "Substitute for y from the original given equation:\r\n" );
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document.write( "\"%22y%27%22=%28x%2B2%29%5Ex%2A%28x%2F%28x%2B2%29%2Bln%28x%2B2%29%29\"\r\n" );
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document.write( "\"%22y%27%28-1%29%22=%28-1%2B2%29%5E%28-1%29%2A%28%28-1%29%2F%28-1%2B2%29%2Bln%28-1%2B2%29%29\"\r\n" );
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document.write( "\"%22y%27%28-1%29%22=%281%29%5E%28-1%29%2A%28%28-1%29%2F%281%29%2Bln%281%29%29\"\r\n" );
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document.write( "\"%22y%27%28-1%29%22=1%2A%28-1%2B0%29\"\r\n" );
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document.write( "\"%22y%27%28-1%29%22=1%2A%28-1%29\"\r\n" );
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document.write( "\"%22y%27%28-1%29%22=-1\"\r\n" );
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document.write( "\"%22y%27%22\" is the same as \"dy%2Fdx\"\r\n" );
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document.write( "Edwin
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