A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
consider the function g(x) = x^3  (5/2)x^22x+1. List any points of inflection. Please show work
anonymous
 5 years ago
consider the function g(x) = x^3  (5/2)x^22x+1. List any points of inflection. Please show work

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0To find the inflection points you have to derive the following function twice. After that, take 2 conditions for f''(x). (a) f''(x) = 0 (b) f''(x) DNE after that take f''(x) = 0 and find the zeros of the function, those zeros will be your inflection numbers, then substitute them in the function to get their y :) and your done ^_^ Give it a try :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Doesn't exist, and you can use that case if and only if we have x in the denominator :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so in your case, you have a function that is considered a polynomial which means the range and domain is R, so you can factor out f''(x) and find the zeros ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i would factor out x out of the original function but what about the 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, no, to find the inflection points you have to take 2 conditions, like I have said before, but since for x, x exists , you must take the zeros of f''(x) and not f(x) :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh you said factor out the second derivative. sry for the misunderstanding

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, no worries ^_^ yeah, the second derivative = f''(x) :) give it a try now.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the 2nd deriv only gives me one number when = to zero

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so that's your inflection number :), I didn't calculate it yet, but if that's what you got, then that's the inflection number ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so i sub that in for all the Xs

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes to get the y, and then you'll have an inflection point (x,y) ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if i substitute it in it will only give me one #, how is that a point? sry if i'm not understanding correctly

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no it's alright. Calc dear, when you found the inflection number by getting the zeros, then you have found point x. When you substitute x in the original function, you'll get point y , f(x) = y. Solve for y :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Did you understand it now? ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0np ^_^ wish you all the best
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.