Question

Graph

Answer 1

At which point is g′′< g′< g

Answer 2

g is original equation, g' = derivative, g'' = second derivative

Answer 3

graph is y = gx

Answer 4

@theEric

Answer 5

I am terrible at reading graphs lol.

Answer 6

@loser66 Can you read this one?

Answer 7

Hi again!
\(g(x)\) is the function's value at \(x\)
\(g'(x)\) is the slope of the function at \(x\)
\(g''(x)\) is the concavity of the function at \(x\)
If \(g''(x)\) is the least, maybe we can look at the most negative concavity. That would be a good point to check out. Which point is that?

Answer 8

@IDKwut

Answer 9

I am not sure how that applies onto the graph??

Answer 10

Well I understand what you said, I just don't see how so and so can be less than this or that (referring the the g function)

Answer 11

The most negative concavity... let's see. It would be e, no?

Answer 12

Nope! When you look at concavity, you look at the curve. So negative is curving down. Most negative would me most curling down.

Answer 13

@Loser66 I think that this graph problem is more for critically thinking about just the meanings of the derivatives. We can guess a function that applies, and that a valid way to look at it too. But we shouldn't apply a specific case to describe a general one. And, most importantly, I think this is an exercise in understanding derivatives.

Answer 14

Then it will be d? or c

Answer 15

This is a more legitamate proof! It is point B! Do you see what I mean? It curls down, and it's the most curvy.

Answer 16

legitimate*

Answer 17

I hate concavity -.- lol. It's so hard to determine sometimes :( So b is the answer?

Answer 18

B is the most negative \(g''\), so it's a good start! Lets see how it goes.
I hope you learn concavity! :) When you get a chance, draw any random function and I'll make the concavity. Then I'll make one, and you can mark it! If you want.

So, at point B, what is \(g'\) equal to or about equal to?

Answer 19

the slope

Answer 20

Yep! That's what it is! What does the slope look like it might be at that point?

Answer 21

decreasing... lol

Answer 22

Examples: