some questions about derivatives

[Loki123]

I have some questions about derivatives.
1. Are stationary points the same as critical points?
2. Can concavity points be extrema?

 

[Deleted member 4993]

I have some questions about derivatives.
1. Are stationary points the same as critical points?
2. Can concavity points be extrema?

Did you do a Google search with those terms?

If "yes", - what did you find?

 

[Loki123]

Did you do a Google search with those terms?

If "yes", - what did you find?

1. yes and no
2. nothing

 

[Deleted member 4993]

1. yes and no

What do you mean by that - expound.

1. yes and no

Did you find the following statement:

All stationary points are critical points but not all critical points are stationary points.​

How is this statement relevant to your inquiry?

 

[Dr.Peterson]

I have some questions about derivatives.
1. Are stationary points the same as critical points?
2. Can concavity points be extrema?

What definitions have you been given for "stationary points", "critical points", and "concavity points"?

I don't know what the latter means! This may be a mistranslation.

 

[Steven G]

I too am unfamiliar with concavity points. I am curious what you mean by it.

 

[BigBeachBanana]

I too am unfamiliar with concavity points. I am curious what you mean by it.

My guess would be the point of inflection i.e. the f''(x)=0

 

[Steven G]

f"(x)=0 is not always a point of inflection. I am sure that you know this.

 

[BigBeachBanana]

f"(x)=0 is not always a point of inflection. I am sure that you know this.

Yes, was sloppy. You also need to check if f''(x) changes signs.

 

[Loki123]

What definitions have you been given for "stationary points", "critical points", and "concavity points"?

I don't know what the latter means! This may be a mistranslation.

For some reason, I cannot find critical points as a term in my language which is why I am asking if they are stationary points since I can find those.
Concavity points are where graphs turn up or down.

 

[Steven G]

I suspect that in your language that stationary points are critical point. To be sure that this is true, why not give us the exact definition of a stationary point?