- A The Mean Value Theorem States That If A Function F Is Continuous On A Closed Interval A B And Differentiable On T 1 (34.37 KiB) Viewed 41 times
(a) The Mean Value Theorem states that if a function f is continuous on a closed interval [a, b] and differentiable on t
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(a) The Mean Value Theorem states that if a function f is continuous on a closed interval [a, b] and differentiable on t
(a) The Mean Value Theorem states that if a function f is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point c in (a, b) such that f(b)-f(a) b-a f'(c) = . (i) Give a geometrical interpretation of the Mean Value Theorem. (ii) Use the Mean Value Theorem to show that sin b ≤ b for all b≥ 0. [2+3=5 marks]