document.write( "Question 1075732: Let
\n" ); document.write( "f(x)={−6x^2+2x for x<0,
\n" ); document.write( "f(x)={3x^2-2 for x⩾0.
\n" ); document.write( "According to the definition of the derivative, to compute f′(0), we need to compute the left-hand limit \r
\n" ); document.write( "\n" ); document.write( "limx→0− =?\r
\n" ); document.write( "\n" ); document.write( " , which is
\n" ); document.write( "undefined
\n" ); document.write( " , \r
\n" ); document.write( "\n" ); document.write( "and the right-hand limit \r
\n" ); document.write( "\n" ); document.write( "limx→0+?\r
\n" ); document.write( "\n" ); document.write( " , which is
\n" ); document.write( "0
\n" ); document.write( " . \r
\n" ); document.write( "\n" ); document.write( "We conclude that f′(0) is
\n" ); document.write( "undefined
\n" ); document.write( " . \r
\n" ); document.write( "\n" ); document.write( "Note: If a limit or derivative is undefined, enter 'undefined' as your answer. \n" ); document.write( "

Algebra.Com's Answer #690409 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\r\n" );
document.write( "Let\r\n" );
document.write( "f(x)={−6x^2+2x  for x<0,\r\n" );
document.write( "f(x)={3x^2-2     for x⩾0.\r\n" );
document.write( "\r\n" );
document.write( "According to the definition of the derivative, to compute f′(0), we need to compute the left-hand limit \r\n" );
document.write( "\r\n" );
document.write( "limx→0− =?\r\n" );
document.write( "\r\n" );
document.write( " , which is \r\n" );
document.write( "undefined                   <<<---+++ W R O N G\r\n" );
document.write( " , \r\n" );
document.write( "\r\n" );
document.write( "and the right-hand limit \r\n" );
document.write( "\r\n" );
document.write( "limx→0+?\r\n" );
document.write( "\r\n" );
document.write( " , which is \r\n" );
document.write( "0                           <<<---+++ C O R R E C T\r\n" );
document.write( " . \r\n" );
document.write( "\r\n" );
document.write( "We conclude that f′(0) is \r\n" );
document.write( "undefined\r\n" );
document.write( " . \r\n" );
document.write( "

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

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