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- (1,3) (2,12) (3,15) (4,8) (5,6)
- P'(x) = 3(x-2)(x-3)(x-4)(x-5)/((1-2)(1-3)(1-4)(1-5)) +
- 12(x-1)(x-3)(x-4)(x-5)/((2-1)(2-3)(2-4)(2-5)) +
- 15(x-1)(x-2)(x-4)(x-5)/((3-1)(3-2)(3-4)(3-5)) +
- 8(x-1)(x-2)(x-3)(x-5)/((4-1)(4-2)(4-3)(4-5)) +
- 6(x-1)(x-2)(x-3)(x-4)/((5-1)(5-2)(5-3)(5-4))
- P'(0) = 3(-2)(-3)(-4)(-5)/((1-2)(1-3)(1-4)(1-5)) +
- 12(-1)(-3)(-4)(-5)/((2-1)(2-3)(2-4)(2-5)) +
- 15(-1)(-2)(-4)(-5)/((3-1)(3-2)(3-4)(3-5)) +
- 8(-1)(-2)(-3)(-5)/((4-1)(4-2)(4-3)(4-5)) +
- 6(-1)(-2)(-3)(-4)/((5-1)(5-2)(5-3)(5-4))
- P'(0) = 15 + -120 + 150 + -40 + 6
- P'(0) = 11
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