document.write( "Question 353582: find the derivative of the function\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+2+%5E+%28sin%28pi%2Ax%29%29\"$ \n" ); document.write( "

Algebra.Com's Answer #252636 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the chain rule,
\n" ); document.write( "Let $\"u=sin%28pi%2Ax%29\"$
\n" ); document.write( " $\"dy%2Fdx=%28dy%2Fdu%29%2A%28du%2Fdx%29\"$
\n" ); document.write( " $\"dy%2Fdu=ln%282%29%2A2%5Eu\"$
\n" ); document.write( " $\"du%2Fdx=cos%28pi%2Ax%29%2Api\"$
\n" ); document.write( "Put it all together,
\n" ); document.write( " $\"dy%2Fdx=ln%282%29%2A2%5E%28u%29%2Api%2Acos%28pi%2Ax%29\"$
\n" ); document.write( " $\"dy%2Fdx=ln%282%29%2Api%2A2%5E%28sin%28pi%2Ax%29%29%2Acos%28pi%2Ax%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );