Concavity Question

[Fcpuyol]

What happens when you are trying to find the concavity of f(x) when f"(x) =6x (x=0)? Does it concave up or down or neither? Thanks for the help

 

[stapel]

What happens when you are trying to find the concavity of f(x) when f"(x) =6x (x=0)? Does it concave up or down or neither?

I'm sorry, but I don't understand what you're trying to ask. It kind of feels like you're somewhere in the middle of some exercise...?

Kindly please reply with a clear statement of the original exercise, along with its instructions, and explain what you are trying to accomplish. Thank you!

 

[Ishuda]

What happens when you are trying to find the concavity of f(x) when f"(x) =6x (x=0)? Does it concave up or down or neither? Thanks for the help

An interesting read, at least to me, is
https://www.economics.utoronto.ca/osborne/MathTutorial/CV1F.HTM
which talks about Concave and convex functions of a single variable and has the following statement:

A twice-differentiable function f of a single variable defined on the interval I is

• concave if and only if f ''(x) ≤ 0 for all x in the interior of I
• convex if and only if f ''(x) ≥ 0 for all x in the interior of I.