 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2004/ia/paper-1/9d/i/solution

h

is continuous on

[a, b]

, differentiable on

(a, b)

, with

a < b

and

h (a) = h (b)

, then some

c \in (a, b)

satisfies

h^{'} (c) = 0

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