A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3To find f you need to first find f' the find f' given f'' integrate both sides

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0hmm.. \[f'(x) = \frac 1x + c\] ??

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3you are missing a certain constant multiple

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0ahh \[f'(x) = \frac 1x + c\]

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3yes :) now to find the constant hmmm....you are missing a certain initial condition to do that .... your question doesn't make sense .... you need one of those to be f'(something)=another something

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0or maybe i should do it \[f'(x) = \frac 1x + c_1\]

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i might have typoed

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0ah yes i did. it's f'(2) not just f(2)

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.1get a system of 2 eau and 2 unknowns

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0hmm \[f(x) = \ln x + c_1 x + c_2\] yes?

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3ok great. you can find that constant by using f(1)=0 and then do what zarkon says to find f

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.1you can do the problem with two given values of f

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3or you can wait to find the first constant whatever

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i suppose x > 0 is just there to note that ln x exists?

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3oh wait.... i guess you can do it with f(something1)=another something1 and f(something2)=another something2 oops

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0f'(2) = 0 so f'(2) = 1/2 + c_1 = 0 does this mean c_1 is 1/2?

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3yes adding 1/2 to both sides solves that equation for c_1

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0then f(1) = ln (1) + 1/2 x + c_2 = 0 so c_2 is 1/2?

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3x is 1 so you have ln(1)+1/2(1)+c_2=0 and yes

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0oh. yeah...forgot to sub 1 into x the second time

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0so \[f(x) = \ln x + \frac 12 x  \frac 12\] ??

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i just noticed this was my 1000th question
Ask your own question
Ask a QuestionFind 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.