State the Mean Value Theorem.

State the Mean Value Theorem.

• A. If f is differentiable on [a,b] there exists c in (a,b) such that f'(c) = (f(b) - f(a)) / (b - a)
• B. If f is continuous on [a,b] and differentiable on (a,b), ∃ c in (a,b) such that f'(c) = (f(b) - f(a)) / (b - a)
• C. If f is continuous on (a,b) there exists c with f'(c) = (f(b) - f(a)) / (b - a)
• D. If f is continuous on [a,b] then f'(c) = (f(b) - f(a)) / (b - a) for some c

Answer: (B)