Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Find the critical numbers of the function. (Enter your answers as a commaseparated list. If an answer does not exist, enter DNE.)
f(x) = x^−6 ln x
 one year ago
 one year ago
Find the critical numbers of the function. (Enter your answers as a commaseparated list. If an answer does not exist, enter DNE.) f(x) = x^−6 ln x
 one year ago
 one year ago

This Question is Closed

JusaquikieBest ResponseYou've already chosen the best response.0
the actual question is \[x^{6}\ln x\] I think the derivative is \[x^{7}6x^{7}\ln x \]
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
derivative is better written as \[\frac{16\ln(x)}{x^7}\] makes finding the critical points a lot easier
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
on critical point is 0, but that is not in the domain of your function. so you can ignore it other one solve \[16\ln(x)=0\]
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.0
i think part of my problem is i don't know how to solve for ln
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
\[16\ln(x)=0\] \[6\ln(x)=1\] \[\ln(x)=\frac{1}{6}\] \[x=e^{\frac{1}{6}}\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
like that you are going to have to "exponentiate" at some point
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.0
ok thanks, i know eulers number is related to natural log i just don't know how to convert back and forth. thanks for the help
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
\[\ln(x)=y\iff e^y=x\]
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.0
so if i had ln23 that would be e^23?
 one year ago

JusaquikieBest ResponseYou've already chosen the best response.0
actually ln23 is 3.13 so E^3.13 = 23?
 one year ago
See more questions >>>
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.