The maximum value of $ [ x(x-1) +1]^{\frac{1}{3}}, 0 \leq \: x \leq$ is

Question

\[ (A)\; \left(\frac{1}{3}\right)^{\frac{1}{3}} \quad (B)\; \frac{1}{2} \quad (C)\; 1 \quad (D)\; 0 \]