The equation x3-3x-m = 0 has real roots on [0,1], and the maximum value of M is obtained

The equation x3-3x-m = 0 has real roots on [0,1], and the maximum value of M is obtained

x^3-3x=M
Let f (x) = x ^ 3-3x f '(x) = 3x ^ 2-3
In [0,1] f '(x)