document.write( "Question 959768: Use logarithmic differentiation to find the derivative of the function.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "y = (ln x)^cos 4x
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #586628 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"ln%28y%29+=+ln%28%28ln+x%29%5E%28cos%284x%29%29%29\"$
\n" ); document.write( " $\"ln%28y%29+=+cos%284x%29%2Aln%28%28ln%28x%29%29%29%29\"$
\n" ); document.write( "So then differentiating,
\n" ); document.write( "

\n" ); document.write( " $\"dy%2Fdx=y%28cos%284x%29%2F%28x%2Aln%28x%29%29-4sin%284x%29%2Aln%28ln%28x%29%29%29%29\"$
\n" ); document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );