document.write( "Question 1074896: Let f(x)=(ln(x))sec(x). Find f′(x) \n" ); document.write( "
Algebra.Com's Answer #689561 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "f(x) = (ln(x))sec(x)\r\n" );
document.write( "\r\n" );
document.write( "The product rule for differentiation:\r\n" );
document.write( "\r\n" );
document.write( "The first times the derivative of the second plus\r\n" );
document.write( "the second times the derivative of the first.\r\n" );
document.write( "\r\n" );
document.write( "The first is ln(x)\r\n" );
document.write( "The second is sec(x)\r\n" );
document.write( "The derivative of the first is 1/x\r\n" );
document.write( "The derivative of the second is sec(x)tan(x)\r\n" );
document.write( "\r\n" );
document.write( "(first)∙(derivative of second) + (second)∙(derivative of first)\r\n" );
document.write( "\r\n" );
document.write( "ln(x)∙sec(x)tan(x) + sec(x)(1/x)\r\n" );
document.write( "\r\n" );
document.write( "You can factor out sec(x) if you like\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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