document.write( "Question 163089: Differentiate with respect to x, y=(cos2x)/(x^2+3) \n" ); document.write( "

Algebra.Com's Answer #120201 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the product rule and the chain rule.
\n" ); document.write( "Product rule: : f(x)=a(x)b(x), f'(x)=a(x)*db/dx+da/dx*b(x)
\n" ); document.write( "Chain rule: f(x)=g(h(x))=dg/dh*dh/dx
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y=%28cos2x%29%2A%28x%5E2%2B3%29%5E%28-1%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

\n" ); document.write( " $\"dy%2Fdx=2xcos%282x%29%2F%28x%5E2%2B3%29%5E%282%29-2sin%282x%29%2F%28%28x%5E2%2B3%29%29\"$ \n" ); document.write( "

\n" );