document.write( "Question 1064333: if there is a function f and we know that f''(x)<>0 (f''(x) is not equal to 0) what does it mean for the f'(x) ?? (12th form student from Greece) \n" ); document.write( "

Algebra.Com's Answer #679449 by ikleyn(52797) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Take (use) a parabola (a quadratic function) as a model, and it will say you everything.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If f''(x) > 0 , it is like a parabola with the leading coef. > 0, i.e. opened upward.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If f''(x) < 0, it is like a parabola with the leading coef. < 0, i.e. opened downward.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );