Documentation Center or Documentation Center 2
f[x_] := Sqrt[3 + x]/2;
A first derivative:
{D[f[x], x], D[f[x], {x, 1}], f'[x], Derivative[1][f][x]}
A second derivative:
{D[f[x], x, x], D[f[x], {x, 2}], f''[x], Derivative[2][f][x]}
and Yours table 5 of derivatives:
Table[D[f[x], {x, n}], {n, 1, 5}]

Or:
Table[Derivative[n][f][x], {n, 1, 5}]