Let f ( x ) = x 4 12 − 4 ( 3 − x ) ( ln 3 ) 2 + log ( x + 1 ) 2 ( x + 1 ) 2014 {\displaystyle f(x)={\frac {x^{4}}{12}}-{\frac {4(3^{-x})}{(\ln {3})^{2}}}+\log _{(x+1)^{2}}(x+1)^{2014}} be a function defined on the interval ( 0 , ∞ ) {\displaystyle (0,\infty )} . Show that the graph of f ( x ) {\displaystyle f(x)} on the interval ( 0 , ∞ ) {\displaystyle (0,\infty )} has an inflection point.
