Critical Point

[Swarnila]

My question is this: if a function is undefined at a point, the derivative is also undefined at that same point. So wouldn't that be a critical point for the function? Because to my understanding, a critical point occurs where the derivative is either zero or undefined.

 

[skeeter]

see the definition at the link provided ...

Calculus I - Critical Points

In this section we give the definition of critical points. Critical points will show up in most of the sections in this chapter, so it will be important to understand them and how to find them. We will work a number of examples illustrating how to find them for a wide variety of functions.

tutorial.math.lamar.edu

 

[Steven G]

Yes, what you said is correct.

Why do you think that it makes sense to includes points where the derivative is undefined as critical points?

 

[skeeter]

Yes, what you said is correct.

Why do you think that it makes sense to includes points where the derivative is undefined as critical points?

No, what was said is incorrect. Check the definition above.

 

[Swarnila]

see the definition at the link provided ...

Calculus I - Critical Points

In this section we give the definition of critical points. Critical points will show up in most of the sections in this chapter, so it will be important to understand them and how to find them. We will work a number of examples illustrating how to find them for a wide variety of functions.

tutorial.math.lamar.edu

Thanks! I get it.