QUESTION 5 Let f(x) =2 x3 -6 x2 - 48 x +5 a) Show the First Derivative Test. Find critical numbers b) Graph sign diagram and show with arrows or signs where the function is increasing; where the function is de Show in interval notation where the function is increasing or decreasing c) Find Relative maximum point (x,y),Relative minimum( x,y) d) Show the Second Derivative Test; e)Graph sign diagram; Check with second derivative where is function concave up, where is concave down; Write in intervals notation where is the function concave up , where is the function concave down. f) Find the Point(s) of Inflection.

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