Let / be conlinuotis on the closed interval [ii. h] and differentiable on the open
Chapter 3, Problem 46(choose chapter or problem)
Let / be conlinuotis on the closed interval [ii. h] and differentiable on the open interval [a. b). Also, suppose that f(a) = f(h) and that c is a real number in the interval such that /'(i) ~ 0. Find an interval for the function s> over which Rolle's Theorem can be applied, and find the con'csponding critical number of :j. (k is a constant), (a) x'U) = /(.v) + k (b) .i;U) = /(.v - k) (c) ,dv) = f(k\)
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