The maximum value of is

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

29. The maximum value of

[x(x-1)+1]^{\frac{1}{3}}, 0 \leq x \leq 1

is (A)

\frac{1}{3}^{\frac{1}{3}}

(B)

\frac{1}{2}