In this post, you will use the first and second derivatives of a function (along with a few other pieces of information)

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In This Post You Will Use The First And Second Derivatives Of A Function Along With A Few Other Pieces Of Information 1 (43.38 KiB) Viewed 12 times

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. Sketch the graph of a single function f(x) that 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 f" (x) = 32(x + 6) (6 - x)4 The domain of f is (-∞, 6) U (6,∞0) * = 6 is a vertical asymptote of f lim f(x) = 1, lim f(x) = 1 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.