 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-oxford/2021/prelims/mathematics-ii/4/a/ii/solution

The mean value theorem states: if a real-valued function

f

[u, v]

, where

u < v

(u, v)

, then there is

c \in (u, v)

with

f (v) - f (u) = f^{'} (c) (v - u) .

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