Question

The graph below shows the graph of f (x), its derivative f ′(x), and its second derivative f ′′(x). Which of the following is the correct statement?

Answer 1

@Kainui

Answer 2

@jabez177

Answer 3

Well if you look at the graphs, you can see that function A resembles something like \(\large f(x) = x^2 \) and function B is something like \(\large f(x) = x^3 \) .. Care to guess what function C is like?

Answer 4

f ?

Answer 5

f = C f' = A f"= B

Answer 6

You sure about that? If we take the derivative of A again, \(\large f''(x) = 2x \) , which \(\large 2x \ne x^3 \)

Answer 7

sooo f = C f' = B f"= A ?

Answer 8

If you agree that function A is a degree 4, then yes. It looks like it could be \(x^4 \) don't ya think?

Answer 9

*function C, not A

Answer 10

I think so

Answer 11

wait so just to be sure am I right with f = C f' = B f"= A

Answer 12

Yup!

Answer 13

thank you!