In this post, you will use the first and second derivatives of a function (along with a few other pieces of information) to sketch the graph of a function. f(x) that Sketch the graph of a single function satisfies all of the following conditions. Use the techniques that we have learned in this course to do SO. 16(x + 2) f'(x) = (6 − x)³ 32(x + 6) f"(x) = (6 - x) 4 The domain of f is (-∞, 6) U (6, ∞) X = 6 is a vertical asymptote of f lim_ f(x) = 1, lim f(x) = 1 x118 x →∞ f(2)= 1 After you have sketched the graph, label the equations of the asymptotes, as well as the locations of any local extrema. Then, explicitly state the intervals of increase and decrease, the intervals of concavity, and the x-coordinates of any inflection points.
In this post, you will use the first and second derivatives of a function (along with a few other pieces of information) to sketch the graph of a function. f(x) that Sketch the graph of a single function satisfies all of the following conditions. Use the techniques that we have learned in this course to do SO. 16(x + 2) f'(x) = (6 − x)³ 32(x + 6) f"(x) = (6 - x) 4 The domain of f is (-∞, 6) U (6, ∞) X = 6 is a vertical asymptote of f lim_ f(x) = 1, lim f(x) = 1 x118 x →∞ f(2)= 1 After you have sketched the graph, label the equations of the asymptotes, as well as the locations of any local extrema. Then, explicitly state the intervals of increase and decrease, the intervals of concavity, and the x-coordinates of any inflection points.
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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