1. (20 marks) Let a < b. Suppose a function f is defined on [a,b] and the derivative f'(x) exists for all xe [a, b]. If
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1. (20 marks) Let a < b. Suppose a function f is defined on [a,b] and the derivative f'(x) exists for all xe [a, b]. If
1. (20 marks) Let a < b. Suppose a function f is defined on [a,b] and the derivative f'(x) exists for all xe [a, b]. If f'(a) < 0 and f'(6) > 0. Show that there exists a point c, a <c<b, such that f'(C) = 0. =
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