document.write( "Question 285713: The function f given by f(x)=2x^3-3x^2-12x has a relative minimum at x=\r
\n" ); document.write( "\n" ); document.write( "(A) -1
\n" ); document.write( "(B) 0
\n" ); document.write( "(C) 2
\n" ); document.write( "(D) 3-√105/4
\n" ); document.write( "(E) 3+√105/4 \n" ); document.write( "
Algebra.Com's Answer #207172 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The function f given by f(x)=2x^3-3x^2-12x has a relative minimum at ?
\n" ); document.write( "f'(x) = 6x^2-6x-12
\n" ); document.write( "Solve f'(x) = 0
\n" ); document.write( "x^2-x-2 = 0
\n" ); document.write( "(x-2)(x+1) = 0
\n" ); document.write( "x = 2 or x = -1
\n" ); document.write( "----
\n" ); document.write( "f''(x) = 2x-1
\n" ); document.write( "Find f''(2) = 4-1 = 3 which is >0, so relative minimum at (2,-20)
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\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-25%2C25%2C2x%5E3-3x%5E2-12x%29\"
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "-----
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\n" ); document.write( "
\n" ); document.write( "(A) -1
\n" ); document.write( "(B) 0
\n" ); document.write( "(C) 2
\n" ); document.write( "(D) 3-√105/4
\n" ); document.write( "(E) 3+√105/4
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