A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 4 years ago

Find any relative extrema and inflection points of the function. Use a graphing utility to confirm your results y= x ln x

  • This Question is Closed
  1. ZeHanz
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    First: because of the ln-function, x > 0. Differentiate:\[\frac{ dy }{ dx }=1*\ln x+x* \frac{ 1 }{ x }=\ln x+1\] Now solve\[\frac{ dy }{ dx }=0\]to find the x-value(s) where the graph has a horizontal tangent line. With the aid of a sign scheme of the derivative you can establish whether these x-values are related to a min/max value or that there is an inflection point. To find additional inflection points, you should differentiate once more, and solve y''=0. You get an inflection point if there is a sign change around the solution of y''=0.

  2. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.