 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-oxford/2023/prelims/mathematics-ii/6/a/i/solution

The mean value theorem states that if

f : [a, b] \to R

[a, b]

(a, b)

, where

a < b

, there is

c \in (a, b)

such that

f (b) - f (a) = f^{'} (c) (b - a) .

No continuity assumption on the derivative is needed.

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