Is a point of inflection concave or convex? - Which answer is correct?

AI Thread Summary
A point of inflection does not necessarily require the existence of an inflection point if the function has undefined areas. The discussion emphasizes the importance of analyzing the second derivative to determine concavity or convexity in different intervals. Some participants express frustration over the complexity of identifying these points, leading to confusion. It is highlighted that spending excessive time on such problems without clear solutions can be unproductive. Understanding the behavior of the second derivative is crucial for accurately determining concavity and convexity.
Sarah66
Messages
1
Reaction score
0
Homework Statement
Hello everybody, :)
I have a problem with determining the intervals of convexity and concavity of this function:
Relevant Equations
there are no inflection points here for me
problem1.png

but for me there is no solution to this inequality...
I never wait for a ready answer but I've already spent 4 hours on it and I still don't know what to mark...
 
Physics news on Phys.org
Sarah66 said:
there are no inflection points here for me
There doesn’t need to be an inflection point to switch between concave and convex if there are points where the function is undefined.
 
Check the sign of the 2nd derivative on each interval if you aren't sure.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top