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4. Let f(x) = | tan(x)| and consider the interval / 4 , 3/ 4 . (i) Check whether the function has the same values

4. Let f(x) = | tan(x)| and consider the interval / 4 , 3/ 4 . (i) Check whether the function has the same values at the end points of the interval. (ii) Show that there is no value c in / 4 , 3/ 4 such that f 0 (c) = 0. (iii) Explain why this does not contradict Rolle's Theorem.

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