A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.)y =(x – 5)?X + 5y' =%3D-(x – 5)3-2x + 20y" =(x – 5)4Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.)horizontal asymptotesvertical asymptotesFind any critical points.v) = ([(х, у) %3D

Given: y = x(x-5)2y' =- x+5(x-5)3y'' = 2x+20(x-5)4 To find: Asymptotes and critical points for the…

A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) (x - 5)2 x + 5 y = - (x - 5) 2x + 20 y" (x - 5)4 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (x, y) =