document.write( "Question 864710: First and second derivative for=\r
\n" ); document.write( "\n" ); document.write( "y=x^3e^x
\n" ); document.write( "

Algebra.Com's Answer #521202 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi
\n" ); document.write( "y=x^3e^x
\n" ); document.write( "Apply Product Rule: d(f(x)g(x))/dx = f(x)(dg(x)/dx + g(x)(df(x)/dx
\n" ); document.write( "y'= x^3e^x + e^x(3x^2)
\n" ); document.write( "y\" = x^3e^x + e^x(3x^2) + 3x^2e^x + e^x(6x) Simply according to directions
\n" ); document.write( "Need to Know:
\n" ); document.write( "\"%28d%28x%5En%29%29%2Fdx++=+nx%5E%28n-1%29+\"
\n" ); document.write( "\"%28d%28c%29%29%2Fdx++=+0+\"
\n" ); document.write( "\"d%28sin%28x%29%29%2Fdx+=+cos%28x%29\"
\n" ); document.write( "\"d%28cos%28x%29%29%2Fdx+=+-sin%28x%29\"
\n" ); document.write( "\"d%28tan%28x%29%29%2Fdx+=+sec%5E2%28x%29\"
\n" ); document.write( "\"d%28cot%28x%29%29%2Fdx+=+-csc%5E2%28x%29\"
\n" ); document.write( "\"d%28e%5Ex%29%2Fdx+=+e%5Ex+\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );