document.write( "Question 638866: for the function f(x)=x^3-27x find the maximum and minimum points \n" ); document.write( "
Algebra.Com's Answer #402433 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
for the function f(x)=x^3-27x find the maximum and minimum points
\n" ); document.write( "-----------
\n" ); document.write( "f(x)=x^3-27x
\n" ); document.write( "f'(x) = 3x^2 - 27 = 0
\n" ); document.write( "x = -3, +3
\n" ); document.write( "--------------
\n" ); document.write( "f''(x) = 6x
\n" ); document.write( "------
\n" ); document.write( "f''(-3) = -18
\n" ); document.write( "--> Local max at x = -3
\n" ); document.write( "-----------------
\n" ); document.write( "f''(3) = 18
\n" ); document.write( "--> local min at x = 3
\n" ); document.write( "
\n" ); document.write( "
\n" );