Question

What would the second derivative of the graph attached inside look like?

:/

Answer 1

Second derivative indicates concavity. The second derivative will be positive when the function is concave up, negative when concave down, and zero at inflection points.

Answer 2

so it will be a concave down parabola? like this?

Answer 3

The first derivative would be like a concave up parabola, I think the function is a cubic polynomial, so the second derivative ought to be a straight line with positive slope, and I think also passing through the origin.

Answer 4

oh would it be like this then?

Answer 5

@CliffSedge ? :/

Answer 6

kinda like that yeah.

Answer 7

That would be my best guess, yes.

Answer 8

oh okay awesome! Thank you!!