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For f(x) = x² - 4x + 3 on [1, 3], at which c does Rolle's theorem give f'(c) = 0?
A2.5
B1.5
C2
D3
Answer & Solution
Correct answer: C. 2
Since f(1) = f(3) = 0, and f'(x) = 2x - 4 vanishes at x = 2, c = 2.
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