Algebra.Com's Answer #822683 by ikleyn(52781)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
.
\n" );
document.write( "Find the coordinates of the points on the curve y = x^2/(2x-1) where dy/dx = 0.
\n" );
document.write( "~~~~~~~~~~~~~~~~~~\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " In this problem, there are TWO points, satisfying the condition dy/dx=0.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " @josgarithmetic found one point and missed another.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " I came to bring full correct solution.\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "\r\n" );
document.write( " = ((2x-1)(x^2)'-x^2(2x-1)')/(2x-1)^2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " =  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " =  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " =  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " = 0 has two solutions x= 0 and x= 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The two points on the curve with zero derivative are (x,y) = (0,0) and (x,y) = (1,1). ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " Visual illustration\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " Plot y =  (red) and y= 1 (horizontal tangent, green)\r\n" );
document.write( "\r\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "Solved (correctly).\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( " |