document.write( "Question 1026207: Find the x-coordinates of the inflections points of the function f(x) = x^4 - 8x^3 + 18x^2 - 3
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Algebra.Com's Answer #641478 by robertb(5830)\"\" \"About 
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\"y+=++x%5E4+-+8x%5E3+%2B+18x%5E2+-+3\" ==> y' = \"4x%5E3-24x%5E2%2B36x\" ==> y\" = \"12x%5E2+-48x+%2B+36\" (Verify!!)\r
\n" ); document.write( "\n" ); document.write( "Inflection points are where the sign of the concavity of the curve changes, which is described by the 2nd derivative y\".\r
\n" ); document.write( "\n" ); document.write( "Set y\" = 0.\r
\n" ); document.write( "\n" ); document.write( "==> y\" = \"12x%5E2+-48x+%2B+36+=+0\" ==> x = 1, 3.
\n" ); document.write( "Between negative infinity to 1, y\" > 0.
\n" ); document.write( "Between 1 and 3, y\" < 0.
\n" ); document.write( "Between 3 and positive infinity, y\" > 0.\r
\n" ); document.write( "\n" ); document.write( "Thus points of inflection exist at x = 1 and x = 3.
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