A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
How can I explain that points are inflection points and not critical points. I know the inflections points are where the concavity changes, but not sure how to say why a point is not a critical point.
Does this make sense?
anonymous
 5 years ago
How can I explain that points are inflection points and not critical points. I know the inflections points are where the concavity changes, but not sure how to say why a point is not a critical point. Does this make sense?

This Question is Closed

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0a critical point tends to be the top of a hill or the bottom of a valley. inflections are just half markers...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0sometimes an inflection point is disguised as a critical point because the slope at the inflection is zero.....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I had worded it as the critical points tell max and mins and the inflections points shows where concavity changes.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0that makes sense to me.... :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0all points are "critical" when it comes to defining the curve...but when we want to maximise or minimise the results of our inputs, we search for the "critical" points of the curve to give us our results....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks my problem was x^4 + 6x^3  24x^2 + 26 Show 2nd derivative. show inflections point(s) and explain in complete sentences why these numbers are inflection points and not critical points. I got 2nd derivative as 12x^2 + 36x  48 with inflection points as x=1 x=4.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if I did this correctly. When I graph it the 1 & 4 are not at the top or in the valley

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0its a quartic graph with a positive slope which means that it has at most 2 inflection points. if not "only" 2 inflection points :) so I agree with your assessment.. x^2 +3x 4 (x+4)(x1) x = 4,1
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.