#graph help
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i made a mistake, i picked c and i only have one try left
im pretty sure the answer is A, but i just want to make sure
i got everything else correct
wait
im wrong it's B i think
fuck
i was wrong it was D
i'm gonna retry the question
Let me get up to the graph part
First four are correct, but C won't work. Look at your conditions again.
Ah, sorry, didn't see your comments.
i'm gonna retry that question later
im on a crunch for time
@spring coral
Can u help me for this one?
I put negative for C f'' but i think it's zero
i only have one try left ion wanna get it wrong
No, at C we have f > 0 and f' = 0, but f'' isn't 0.
(well, technically, it can be 0 even in this case, but this isn't what they had in mind, that's for sure)
Are you sure?
i assumed it was zero but using ur logic i dont think so anymore
only answer left would be pos
Note that the second derivative shows the covexity of the function.
f''(x) > 0 where f(x) is convex down and f''(x) < 0 where f(x) is convex up.
At C the function is convex up, so f''(x) < 0.
yeah, so i thought that'd mean f' is also < 0 (i put negative)
but it showed up as wreong
No. C is a maximum point, so f'(x) = 0.
The values of derivatives don't explicitly depend on each other, they depend on how the function behaves in general.
Let me check what you wrote for A and B, one sec.
Hm, yeah, they were correct. Oh well.
but i put (e,g) and it showed up wrong
so what's the correct way to put that down
would it be
f''(x) is positive in (e, g), not negative.
Again, f''(x) is negative where f(x) is convex up.
omg i suck at this
You just need some practice.
You need intervals, not points.
No.
fuck
(g, h) is correct. Not the two others, though.
(d,e), (g,h)
or
(b,c), (c,e), (g,h)
i'm pretty sure it's (d,e), (g,h)
is that correct
Yeah, nice!
๐
so im assuming
this would be what i selected
the direct opposite of the last one
Yes.
No.
so everything > 0 as f is increasing f'
We know that if f(x) is increasing, then f'(x) > 0. Then, by differentiating both functions in that, we get that if f'(x) is increasing, then f''(x) > 0.
So, f'(x) is increasing where f(x) is convex down.
No. It will be the same as for the question where f''(x) > 0, so still (a, c)โ(c, d)โ(e, g).