document.write( "Question 1044507: Use the logarithmic definition to find the derivative:
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Algebra.Com's Answer #659827 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Use the formulas for the derivative of ln(u),\r\n" );
document.write( "are the formulas the derivative of uv and ln(u)\r\n" );
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document.write( "Multiply both sides by y\r\n" );
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document.write( "Substitute for y on the right using the ORIGINAL equation\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "Substitute for y on the right using the ORIGINAL equation\r\n" );
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document.write( "That's the answer, but you were instructed to use \r\n" );
document.write( "natural logs.  So let's do it using natural logs:\r\n" );
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document.write( "Change the square root to the 1/2 power:\r\n" );
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document.write( "Multiply both sides by y\r\n" );
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document.write( "Substitute for y on the right using the ORIGINAL equation\r\n" );
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document.write( "This is the same as the the answer we got when we did\r\n" );
document.write( "it by squaring both sides, but this way the denominator\r\n" );
document.write( "came out rationalized.  The two answers are equivalent.\r\n" );
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document.write( "Edwin

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