The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (0,1) where f'(c)=0.
f(x) = x^3 - 2x^2 + x, [0, 1]
Round your answer to two decimal places.
f(x) = x^3 - 2x^2 + x, [0, 1]
Round your answer to two decimal places.