A community for students.
Here's the question you clicked on:
 0 viewing
calyne
 3 years ago
Differentiate f and find the domain of f.
f(x) = x/[1ln(x1)]
calyne
 3 years ago
Differentiate f and find the domain of f. f(x) = x/[1ln(x1)]

This Question is Closed

calyne
 3 years ago
Best ResponseYou've already chosen the best response.0i got [2ln(x1)]/[(1ln(x1))^2] but that's wrong

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1I think it looks more like this u = x du/dx = 1 v = 1ln(x 1) dv/dx = 1/(x1) \[dy/dx = (1  \ln(x 1) + x/(x1))/(1\ln(x 1))^2\]

calyne
 3 years ago
Best ResponseYou've already chosen the best response.0The answer in the texbtook is f'(x) = [2x  1  (x  1) ln(x  1)] / [(x  1)[1  ln(x  1)]^2]; domain of f = (1, 1+e) U (1 + e, infinity)

calyne
 3 years ago
Best ResponseYou've already chosen the best response.0I need this explained to me.

bmp
 3 years ago
Best ResponseYou've already chosen the best response.0Optionally, use the reverse multiplication rule. Say: f(x) = x*(1ln(x1))^(1) Quotient rule tend to be quite messy. But can you show what you did so far? I may be able to guide you through it. :)

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1\[y=\frac{x}{1\ln(x1)}\] You could do log diff. \[\ln(y)=\ln(\frac{x}{1\ln(x1)})\] \[\ln(y)=\ln(x)\ln(1\ln(x1))\] Now diff both sides \[\frac{y'}{y}=\frac{1}{x}\frac{0\frac{1}{x1}}{1\ln(x1)}\] So Simplifying right hand side first we have \[\frac{y'}{y}=\frac{1}{x}\frac{1}{(x1)(1\ln(x1))}\] Now multiply y on both sides \[y'=y(\frac{1}{x}+\frac{1}{(x1)(1\ln(x1))})\] And replace y with \[\frac{x}{1\ln(x1)}\] So this is another way :)

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1http://www.wolframalpha.com/input/?i=differentiate+x%2F%5B1ln%28x1%29%5D good old classic way click on <show steps> to take a peek at the steps.
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.