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 + Vx- 1 y' = 1 - (x - 7)4/3 4 y" = 3(x - 7)7/3 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) = (smaller x-value) (х, у) %3D (larger x-value) Find any relative maxima and relative minima. relative maximum (х, у) %3D relative minimum (х, у) %3D Find any points of inflection. (*, Y) = (| Sketch the graph of the function. 20 20 10 10 - 15 -10 -5 -15 -10 -10 -10 -20- -20H y y 20 20 10 10

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A: Given that the first derivative of the function is  y'=(8x-5x2)(4-x)2

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Q: (a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this…

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