find the maximum and minimum value of f(x) = log x/x

Dear Student,
Please find below the solution to the asked query:

We have:y=logxxdydx=x.ddxlogx-logx.ddxxx2=x.1x-logxx2dydx=1-logxx2For maxima or minima dydx=01-logxx2=01-logx=0logx=1x=e1=eNowlogx>1 when x>eandlogx<1 when x<edydx>0 increases when x<e and dydx<0 decreases when x>e, hence x=e will be point of local maxima.And as fx has only one critical point hence minimum value will tend towards -.fx=logxxfxmax=logeefxmax=1e 

Hope this information will clear your doubts about this topic.

If you have any doubts just ask here on the ask and answer forum and our experts will try to help you out as soon as possible.

  • 4
What are you looking for?