#maxima minima and discussing points of curve

14 messages · Page 1 of 1 (latest)

dry matrix
#

Our function is y=lnx/x
I want to know how to check this function will increase or decrease and increase their interval

frosty tendonBOT
#
  1. Wait patiently for a helper to come along.
  2. Once someone helps you, say thank you and close the thread with:
+close
  1. Feel free to nominate the person for helper of the week in #helper-nominations
  2. Do not ping the mods, unless someone is breaking the rules.
  3. If you're happy with the help you got here, and the server overall, you can contribute financially as well:
dry matrix
#

So here i differentiate and got it will cut x axis at point x=1

weary jasper
#

$$ \frac{1-\ln x}{x^2} $$

clever hazelBOT
weary jasper
#

have to analyse this

#

if x>= e, then derivative is nonpositive

#

so ln x/ x decreasing

#

otherwise for x in (0,e) it's increasing

#

@dry matrix

dry matrix
#

Ohh wow

#

That's nice

dry matrix
#

+close