If a function f is continuous in [a, b], differentiable in (a, b), and f(a) = f(b), then there exists at least one c in (a, b) such that f'(c) = 0. This statement refers to:
If a function f is continuous in [a, b], differentiable in (a, b), and f(a) = f(b), then there exists at least one c in (a, b) such that f'(c) = 0. This statement refers to:
- A. Lagrange's Mean Value Theorem
- B. Rolle's Theorem
- C. Intermediate Value Theorem
- D. Cauchy's Theorem
Answer: B) Rolle's Theorem
Explanation: This is the exact definition of Rolle's Theorem.
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