Let p be any point on the curve y = x3-3x + 23, and the tangent inclination angle at P is α, then the value range of angle α is () A. [0,π2)∪[23π,π)B. [0,π2)∪[56π,π)C. [23π,π)D. (π2,56π)

Let p be any point on the curve y = x3-3x + 23, and the tangent inclination angle at P is α, then the value range of angle α is () A. [0,π2)∪[23π,π)B. [0,π2)∪[56π,π)C. [23π,π)D. (π2,56π)

∵ y ′ = 3x2-3 ≥ - 3, ∪ Tan α≥ - 3, and ∵ 0 ≤ α ≤ π, ∪ 0 ≤ α < π 2 or 2 π 3 ≤ α < π, then the value range of angle α is [0, π 2] ∪ [2, π 3, π), so a