A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 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
anonymous
 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

ZeHanz
 4 years ago
Best ResponseYou've already chosen the best response.0First: because of the lnfunction, 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 xvalue(s) where the graph has a horizontal tangent line. With the aid of a sign scheme of the derivative you can establish whether these xvalues 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.
Ask your own question
Sign UpFind more explanations on OpenStudy
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...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 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.