Para as funç\~oes e abcissas anteriores, calcule as derivadas anal\'iticas.
No arquivo \texttt{N02.py}, implemente as derivadas anal\'iticas, \texttt{def df\_i(x)}, $i=1,2,3,4,5$.
Para cada um das funç\~oes, gera uma tabela da forma:
\begin{center}
\begin{tabular}{cccccc}
$x$ & $df_{ana}$ & $df_{num}$ & $r_a$ & $r_r$\\
0.250000 & -15.408305 & -15.408305 & 3.441460e-10 & 2.233510e-11\\
0.333333 & -8.373675 & -8.373675 & 3.170992e-10 & 3.786859e-11\\
0.500000 & -3.297443 & -3.297443 & 6.088108e-11 & 1.846312e-11\\
1.000000 & 0.000000 & 0.000000 & 2.220446e-10 & 0.000000e+00\\
2.000000 & 1.847264 & 1.847264 & 1.241360e-10 & 6.719994e-11\\
3.000000 & 4.463453 & 4.463453 & 9.965211e-10 & 2.232624e-10\\
4.000000 & 25.000000 & 25.000000 & 4.382628e-09 & 1.753051e-10\\
\end{tabular}
\end{center}

Para o c\'alculo da derivada num\'erica, use a derivada sim\'etrica:
\begin{center}\begin{verbatim}
def d_f(f,x,eps=1.0E-6):
   return (   f(x+eps)-f(x-eps)  )/(2.0*eps)
\end{verbatim}\end{center}
