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.) 27(x – 2)2/3 x2 f(x) = 36(3 – x) f'(x) = x³(x – 2)/3 12(7x2 – 42x + 54) x4(x - : f"(x) = 2)4/3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (х, у) 3D (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. (Round the coordinates to two decimal places.) (х, у) %3D (smaller x-value) (х, у) %3D (larger x-value)

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.) 27(x – 2)2/3 x2 f(x) = 36(3 – x) f'(x) = x³(x – 2)/3 12(7x2 – 42x + 54) x4(x - : f"(x) = 2)4/3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (х, у) 3D (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. (Round the coordinates to two decimal places.) (х, у) %3D (smaller x-value) (х, у) %3D (larger x-value)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 37E

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