The function $f$ is defined on the interval $[ 0 ; 1 ]$ by:
$$f ( x ) = \frac { 0,96 x } { 0,93 x + 0,03 }$$

\begin{enumerate}
  \item Prove that, for all $x$ belonging to the interval $[ 0 ; 1 ]$,
$$f ^ { \prime } ( x ) = \frac { 0,0288 } { ( 0,93 x + 0,03 ) ^ { 2 } }$$
  \item Determine the direction of variation of the function $f$ on the interval $[ 0 ; 1 ]$.
\end{enumerate}