You can use GeoGebra to find the inflection points of a function, and the tangent at a given inflection point: 
     GeoGebra Instruction 1
Algebra     View     and         Graphics     View     under         View     in         Menu.         Algebra     View     and         press         Enter.         InflectionPoint(<Polynomial>)     in         Algebra     View.         For         <Polynomial>,         enter         the         name         of         your         function,         then         press         Enter.         The         coordinates         of         the         inflection         points         will         appear         in         Algebra     View.         Tangents Algebra     View.              Note! GeoGebra will only find the inflection points of polynomial functions.