+ "Solution:\n 1. Find critical points:\n → f'(x) = 3x² - 6x\n 1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n1. Find critical points:\n → f'(x) = 3x² - 6x\n → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2 → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2 → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2 → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2 → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2 → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2 → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2 → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2 → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2 → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2 → Set derivative to zero: 3x(x-2) = 0 ⇒ x=0, x=2\n \n 2. Evaluate function at critical points and endpoints:\n → f(-1) = (-1)^3 - 3(-1)^2 + 4 = -1 -3 +4 = 0.0000\n → f(0) = 0³ - 3(0)² +4 = 4.0000\n → f(2) = 8 - 12 +4 = 0.0000\n → f(3) = 27 - 27 +4 = 4.0000\n \n 3. Compare values:\n → Minimum occurs at x=-1 and x=2\n \n Verification:\n → Second derivative test: f''(x) = 6x-6\n → f''(-1) = -12 < 0 (local max)\n → f''(2) = 6 > 0 (local min)\n \n \\boxed{0}"
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