document.write( "Question 1019971: Hi, this a question from calculus 1.\r
\n" ); document.write( "\n" ); document.write( "It says: Does the graph of the function y=3x+6sin(x)have any horizontal tangents in the interval 0 <=x<=2pie? Where?\r
\n" ); document.write( "\n" ); document.write( "Thanks!
\n" ); document.write( "

Algebra.Com's Answer #635905 by ikleyn(52908)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Hi, this a question from calculus 1.\r
\n" ); document.write( "\n" ); document.write( "It says: Does the graph of the function y=3x+6sin(x)have any horizontal tangents in the interval 0 <=x<=2*pi? Where?\r
\n" ); document.write( "\n" ); document.write( "Thanks!
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Take the derivative and equate it to zero:\r\n" );
document.write( "\r\n" );
document.write( "3 + 6*cos(x) = 0.\r\n" );
document.write( "\r\n" );
document.write( "Try to solve it for x in the given interval.\r\n" );
document.write( "\r\n" );
document.write( "Use the plot below for inspiration.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( "\n" ); document.write( "
\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Figure. Plot y = 3x + 6*sin(x)\r
\n" ); document.write( "\n" ); document.write( "

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