Inflection Point

Author

Eric W. Weisstein
April 14, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Calculus/InflectionPoint.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/InflectionPoint.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Plot

<<Graphics`Colors`

Plot[x^3,{x,-1,1},PlotStyle->Red,Ticks->None,AspectRatio->Automatic,PlotRange->All,
Epilog->{Red,PointSize[.04],Point[{0,0}]},
ImageSize->200]

Derivation

D[x^3,x]

Plot[3x^2,{x,-1,1},PlotStyle->Red,Ticks->None]

D[x^3,{x,2}]

Solve[%==0,x]