A community for students.
Here's the question you clicked on:
 0 viewing
TrojanPoem
 one year ago
Find the intervals of upwards concavity and downwards concavity and turning points if exists for the curve of function f as f(x) = x^2 +9 /x and find the absolute maximum and minimum for the function when x ( [1, 6]
TrojanPoem
 one year ago
Find the intervals of upwards concavity and downwards concavity and turning points if exists for the curve of function f as f(x) = x^2 +9 /x and find the absolute maximum and minimum for the function when x ( [1, 6]

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0start by taking the first and second derivatives

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0I know the steps, the problem lays in this example specifically. No turning points although there is upwards and downwards concavity.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there is a vertical asymptote where denominator is equal to 0

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0You mean something like this ? http://hotmath.com/hotmath_help/topics/rationalfunctions/image008.gif

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0So there is no turning points as the curve is separated into two parts ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=\frac{x^2+9}{x}=x+\frac{9}{x}\] right?

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0I will watch the video while answering

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f'(x)=1\frac{9}{x^2}\]find the interval over what \(f'\) is positive, that will tell you where it \(f\)is increasing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i always graph these problems first to get an idea of what im looking to identify

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0as for the absolute max on \([1,6]\) check the critical point (where \(f'(x)=0\) and also check \(f(1)\) and \(f(6)\)

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0Good way of doing it, x = 0 8, 0 > dec 0 , 8 increase 8 = infinite

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0From now , I will graph it too.

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0WHere is the turning point satellite ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0in any case if you want a nice picture and pretty much everything else use this http://www.wolframalpha.com/input/?i=%28x^2%2B9%29%2Fx

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0turning point satellite ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if "turning point" means where it goes from increasing to decreasing and vice versa, those are the zeros of the derivative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0idk i didn't do it solve \[1\frac{9}{x^2}=0\] and you will get them can probably do it in your head

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0@billj5 , Finding the asymptote takes decade !

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0This is the first derivative , we need the second one. and x = 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lol its not too bad once you get the hang of it

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0At least , I understood why x = 0 was not a turning point :D , Thanks !

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0Hey , may you help me with another question ? Will open new one.
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.