Question

Find x-value of all points where function has relative extrema and find the Values of these extrema.

f(x)= (x^2)/(ln(x))
f'(x) = x(2logx - 1)/(logx)^2

So, since f and f' are not defined at x=0,

f'(x) = 0 when
2logx = 1
logx = 1/2
x = √e

f(√e) = e/(1/2) = 2e

See the graph at

http://www.wolframalpha.com/input/?i=%28x^2%29%2F%28ln%28x%29%29+for+x+%3D+0..3

Related Questions

find the relative extrema and points of inflection, if possible, of y = xln((x^4)/8) Any help wou... Find the relative extrema and absolute extrema if any. Use the first derivative test for the functio... Given the function f(x)=x^4−6x^2 a.) Find all values of x where local extrema points occur b.)fi... Find the x-values of all points where the function below has any relative extrema. Find the values(s...