document.write( "Question 353583: find the derivative of the function \r
\n" ); document.write( "\n" ); document.write( "y = 2^3^x^2 \n" ); document.write( "

Algebra.Com's Answer #252630 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y+=+2%5E%283%5E%28x%5E2%29%29\"$
\n" ); document.write( "Use the chain rule,
\n" ); document.write( "Let $\"u=3%5E%28x%5E2%29\"$ , let $\"v=x%5E2\"$ ,
\n" ); document.write( " $\"dy%2Fdx=%28dy%2Fdu%29%2A%28du%2Fdx%29\"$
\n" ); document.write( " $\"du%2Fdx=%28du%2Fdv%29%2A%28dv%2Fdx%29\"$
\n" ); document.write( " $\"dy%2Fdx=%28dy%2Fdu%29%2A%28du%2Fdv%29%2A%28dv%2Fdx%29\"$
\n" ); document.write( " $\"dy%2Fdu=2%5Eu%2Aln%282%29\"$
\n" ); document.write( " $\"du%2Fdv=3%5Ev%2Aln%283%29\"$
\n" ); document.write( " $\"dv%2Fdx=2x\"$
\n" ); document.write( "Putting it all together,
\n" ); document.write( " $\"dy%2Fdx=2%5E%28u%29%2Alog%282%29%2A3%5E%28v%29%2Aln%283%29%2A2x\"$
\n" ); document.write( " $\"dy%2Fdx=ln%282%29%2Aln%283%29%2A2%5E%28u%2B1%29%2A3%5E%28v%29%2Ax\"$
\n" ); document.write( " $\"dy%2Fdx=ln%282%29%2Aln%283%29%2A2%5E%283%5E%28x%5E2%29%2B1%29%2A3%5E%28x%5E2%29%2Ax\"$
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