If point P moves on the curve y = x3-3x2 + (3-3) x + 34 and the inclination angle of the tangent passing through point P is α, then the value range of angle α is () A. [0,π2)B. [0,π2)∪[2π3,π)C. [2π3,π)D. [0,π2)∪(π2,2π3]

If point P moves on the curve y = x3-3x2 + (3-3) x + 34 and the inclination angle of the tangent passing through point P is α, then the value range of angle α is () A. [0,π2)B. [0,π2)∪[2π3,π)C. [2π3,π)D. [0,π2)∪(π2,2π3]

The derivative of ∵ function y ′ = 3x2-6x + 3-3 = 3 (x-1) 2-3 ≥ - 3, ∵ Tan α ≥ - 3, 0 ≤ α < π, ∵ 0 ≤ α < π 2 & nbsp; & nbsp; or & nbsp; & nbsp; 2 π 3 ≤ α < π, so B