a) Determine its domain, and vertical and horizontal asymptotes (if any) b) Find the coordinates (both coordinates) of its critical points, the intervals where the function is increasing/decreasing, and classify each critical point as a local max or min c) Find the intervals where the function is concave up/concave down, and determine the coordinates (both coordinates) of the inflections points d) Determine the y-intercept (if any) e) Use this information to sketch the graph of the function. Your graph should clearly show all of the information found above
a) Determine its domain, and vertical and horizontal asymptotes (if any) b) Find the coordinates (both coordinates) of its critical points, the intervals where the function is increasing/decreasing, and classify each critical point as a local max or min c) Find the intervals where the function is concave up/concave down, and determine the coordinates (both coordinates) of the inflections points d) Determine the y-intercept (if any) e) Use this information to sketch the graph of the function. Your graph should clearly show all of the information found above
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 96E
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The function f(x) = ln x / x has a derivative f’(x) = 1-ln x/x^2 and f”(x)= 2 ln x-3/x^3
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