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# consider a function, f (x), on the interval, (0,11), where f (x) has the following conditions. 0 f'(x) = 1 csczx 0 f"(x) = chc2 x cotx o f( x) has...

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consider a function, f (x), on the interval, (0,11), where f (x) has the followingconditions. 0 f’(x) = 1 — csczx0 f”(x) = chc2 x cotxo f( x) has vertical asymptotes at x : 0 and x = 71'. - r&lt;§&gt;=o Give the interval/s (if any) Where f (x) is increasing/decreasing. If there are no suchintervals, state this. f (x) is increasing on f (x) is decreasing on Give any POINTS of relative extrema. If there are none, state this. point/s for relative minimum/minima of f (x)point/s for relative maximum/maxima of f (x) Give the interval/s (if any) where f (x) is concaved up/down. If there are no such intervals,state this. 10f (x) is concaved up on f (x) is concaved down on y 5Give any inﬂection point/s. If there are none, state this. is/are inﬂection point/s of f (x). Sketch the graph of f (x). —IU