document.write( "Question 696809: Differentiate:\r
\n" ); document.write( "\n" ); document.write( "y = x^3 - 2x^2 / cubic root x^2\r
\n" ); document.write( "\n" ); document.write( "What I have done:\r
\n" ); document.write( "\n" ); document.write( "y = x^3 - 2x^2 / x^2/3\r
\n" ); document.write( "\n" ); document.write( "dy/dx
\n" ); document.write( "= x^2/3 (3x^2 - 4x) - (x^3 - 2x^2) (2/3x^-1/3)\r
\n" ); document.write( "\n" ); document.write( "= 3x^8/3 - 4x^5/3 - 2/3x^8/3 + 4/3x^-2/3 / x^4/3\r
\n" ); document.write( "\n" ); document.write( "= 7/3x - 4x^5/3 + 4/3x^-2/3 / x^4/3\r
\n" ); document.write( "\n" ); document.write( "= 7/3x^-1/3 - 4x^1/3 + 4/3x^-2\r
\n" ); document.write( "\n" ); document.write( "Is my answer correct? Please let me know within 2 days as I have exam and I am unable to visit my teachers / classmates for help. Thanks! \n" ); document.write( "

Algebra.Com's Answer #429337 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Change the cube root to a fraction exponent:\r\n" );
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document.write( "Change the denominator to a multiplication by a\r\n" );
document.write( "negative exponential: \r\n" );
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document.write( "Distribute by adding exponents:\r\n" );
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document.write( "Get LCD's of fraction exponents\r\n" );
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document.write( "Do the addition of the fraction exponents:\r\n" );
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document.write( "Now we can just use the basic power rule to\r\n" );
document.write( "find the derivative:\r\n" );
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document.write( "You can either leave it like that or factor out  \r\n" );
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document.write( "Change the exponent  to 1 and the fractional exponential\r\n" );
document.write( "to a cube root:\r\n" );
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document.write( "I'm sure you can skip some of those steps.  I just broke it down \r\n" );
document.write( "all the way just in case.\r\n" );
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document.write( "Edwin

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