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1. Let f(x)-x cos x on the interval [0, π/2] a) Show that f(c) 0 somewhere in that interval without computing the derivative. b) Is f(c) a local maximum or local minimum value? Explain. c) Why do we know f(x) must obtain an absolute min and max? What are those values? f(c) you may call it that)

how..? without using derivative?...

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