Question: A function and its first and second derivatives are given. Use these to find each of the following.y=x(x-3)2y'=-x3(x-3)3y''=2x12(x-3)4Find any horizontal and vertical asymptotes and critical

A function and its first and second derivatives are given. Use these to find each of the following.y=x(x-3)2y'=-x3(x-3)3y''=2x12(x-3)4Find any horizontal and vertical asymptotes and critical values. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)horizontal asymptotes ,y=q,vertical asymptotes ,x=q,critical valuesx=Find the relative maximum and relative minimum. (If an answer does not exist, enter DNE.)relative maximum ,(x,y)=1 relative minimum Find the point of inflection.

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