Question

@geerky42

Answer 1

If f'(a) = 0, we can say that is relative extrema at f(x) at x=a, right?

Answer 2

yes

Answer 3

@geerky42

Answer 4

@phi

Answer 5

what is the question? You do know to find a min or max of f(x) you would find
df/dx and set equal to 0. I would look at the graph for f'(x) and look for when it's zero

also, the points on f'(x) where its slope is zero are where f''(0)=0. These are inflection points.

Answer 6

the question is in the creenshot

Answer 7

Yes, I see the question. But what do you not understand so that you can answer it ?

Answer 8

how do i figure out if the relative exterma is 1 or 0

Answer 9

relative extrema is another way to say local minimum or local max.
In calculus they drum it into your head (hopefully!) that a max (for example) is where the slope of the tangent line is zero, i.e. where f'(x) is 0

Look at your graph. Do you see any places where the graph crosses the x-axis (i.e. its y value is 0, meaning f'(x) is zero)

Answer 10

yes

Answer 11

so that means it would be 1

Answer 12

It means statement I is true. There is an extrema at x=0
there is also a max/min at x=2, but they don't mention it.

However, they do mention an inflection point.
Did you learn how to identify an inflection point ?

Answer 13

uhh not that i remember lol could you explain?

Answer 14

The second derivative is zero

Answer 15

so this one does not have an inflation

Answer 16

inflection (inflation is something else)

to find where the second derivative is zero, look for local min or max on the graph of the first derivative.

Answer 17

idk what youre trying to say..

Answer 18

im confused

Answer 19

im going with it has an inflection at 1

Answer 20

@ikram002p

Answer 21

@Loser66

Answer 22

@geerky42 @ganeshie8

Answer 23

I think this question is asking for *all* the statements that are true.
Two of them are true.

Answer 24

agree with phi

Answer 25

go backward, forget about the graph. By definition, f has extrema at the points where f' =0, right?
The graph is f' (not f)
and to the graph, f' =0 at x =0 and x =1, so
x =0 and x =1 are relative extrema. Period.