document.write( "Question 614453: I am having a hard timfiguaring out what the relative max and min. is. how to caculate it? I have a TI- 83 plus. question might be: f(x)= 2-x^2 or f(x)= x^3 +4x^2 \n" ); document.write( "
Algebra.Com's Answer #386552 by Alan3354(69443)\"\" \"About 
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I am having a hard timfiguaring out what the relative max and min. is. how to caculate it? I have a TI- 83 plus. question might be:\r
\n" ); document.write( "\n" ); document.write( "f(x)= 2-x^2
\n" ); document.write( "f'(x) = -2x 1st derivative
\n" ); document.write( "-2x = 0
\n" ); document.write( "x = 0 --> max, since the coeff of the x^2 term is negative.
\n" ); document.write( "-----------
\n" ); document.write( " or
\n" ); document.write( "f(x)= x^3 +4x^2
\n" ); document.write( "f'(x) = 3x^2 + 8x = 0
\n" ); document.write( "x = 0, x = -8/3
\n" ); document.write( "----
\n" ); document.write( "f\"(x) = 6x + 8 2nd deriviative
\n" ); document.write( "----
\n" ); document.write( "f\"(0) = 8 --> local min
\n" ); document.write( "----
\n" ); document.write( "f\"(-8/3) = -8 --> local max
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