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Q: calculus question ( No Answer,   1 Comment )
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 Subject: calculus question Category: Reference, Education and News > Homework Help Asked by: cron1000-ga List Price: \$5.00 Posted: 01 May 2006 06:20 PDT Expires: 03 May 2006 08:17 PDT Question ID: 724366
 ```Let f(x)= (ln x)/x for x>0. sketch the graph of y=f(x) indicating asymptotes, regions where f is increasing, decreasing,convex, convave ,local extrema and points of inflection. give absolute max and min values on the interval {1,3}```
 ```Remember, you need to look at the first derivative to determine the location of the maximum and/of minimum values. These occur when the first derivative is zero. Also check values at the endpoints of the interval. Look at the second derivative to determine the points of inflection, which occur when it is zero. A negative second derivative indicates a function that is concave downward and a positive second derivative indicates a function that is concave upward. To calculate a derivative of a quotient use the formula: d/dx(u/v) = [v(du/dx) - u(dv/dx)] / v^2 f(x) = u/v = ln(x)/x So u = ln(x) and v = x Here's a hint. A well known constant may show up in the answer.```