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8
volunteer
oops.
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student
I will do it, where is the formula, or X-rays to the plow up the minus
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student
X. 820.
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student
So then maybe help
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volunteer
Yeah. Yeah, that's right. That's correct.
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student
based from this like, since we already have the formulas at the zeros, what we can do with the, this uh formula is that we can make it into the quadratic formula.
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student
We can, we can quadratic, we can make the formula to sign.
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student
Yeah
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volunteer
Well, first thing you need to do is take a derivative of it, right? You're trying to, if you, we know the zeros of the graph, we know it
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volunteer
Now we, if you want to find
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volunteer
you know, the maxes and men's are gonna happen right between them.
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volunteer
But
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volunteer
how do you take
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volunteer
I think your paper up here said
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volunteer
yeah
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student
first therariation, the the variation. Oh my gosh.
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volunteer
Yeah, so you take a derivative.
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student
The thing was, I remembered our our teacher submitting like uh, like from a shared like classroom from another like uh from another class that had APA. They had this, they had this thing like the shared like like uh like what do you mean 3rd grading recorded, uh, for this
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student
but then I can't find, I can't find the file that had
12,175
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student
had had this, wait, uh, let me find the dress.
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volunteer
Does this notation, let me ask you this, do you know what this notation means for derivative.
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student
find the
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volunteer
So if I go, I want you to take the derivative, right?
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student
Yes
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volunteer
Do you know how to take the derivative of this function.
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student
uh, I, I, I know it cause I seen my teacher done it, but I'm not that confident doing it in school.
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volunteer
OK, I'll, I'll show you. It's called the Power rule, right?
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student
one the probably
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volunteer
So I basically
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volunteer
I take the, I take whatever so I take
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volunteer
the power roll says I take whatever power is. I multiply it out front and I reduce this. So this becomes
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volunteer
3
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volunteer
times 4
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volunteer
X
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volunteer
2
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student
OK
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volunteer
OK
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student
yeah
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volunteer
So, you know, the power role.
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volunteer
Power roll is the following. If F of X
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volunteer
this is really the only, there's a lot of diff F ofvax.
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student
Yeah
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volunteer
You do you know what F of X is? Like a functional notation. Are you comfortable? OK.
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student
Yeah.
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volunteer
If uh if E of X equals X.
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volunteer
to the N
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volunteer
right
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volunteer
F
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volunteer
X
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volunteer
E
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student
Oh, wait. Oh, this is like what I
12,175
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student
um
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volunteer
F of X equals N
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volunteer
right? The N comes down
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volunteer
times X
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student
you know
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volunteer
times N
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volunteer
minus 1.
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volunteer
So that's what I did over here, right? I took the 3
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student
Oh
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volunteer
put it out front, but I have to multiply it by the 4, then I took X^2, right? So that's gonna be.
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student
Oh
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volunteer
so this is gonna be equal to 12.
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volunteer
x
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student
Oh, well X^2.
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student
Oh.
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volunteer
2. OK. So what's the next um what's the next factor?
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student
54 x 2. So it's uh from what I've understand negative. We, my nose, we have
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student
2
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student
times 54 and 2 minus 1 is 1, so it's just two times 54 and
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student
2 times 54 X.
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student
Am I correct
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volunteer
Not, yeah, yeah, yep, so that's gonna be minus
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student
100 and
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volunteer
108
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student
And then 182.
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volunteer
OK, what's, uh, what, what happens to X?
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student
X becomes a 1 because it it was a minus.
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volunteer
No, it goes from x, it goes to X to the 1, right? Because
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student
Yeah
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student
it was suggested
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volunteer
next to the one goes to.
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student
Yeah
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volunteer
no X^2 becomes X, right? 2 becomes 2 minus 1, so this should be X, right?
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student
Oh yeah, I forgot. 108, I, I forgot, but I did follow the rule now X becomes one.
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student
one
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volunteer
OK, how about do do this next factor. What 182X become?
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student
Um
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student
wait
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student
OK about it. There's nothing really much to wait, I mean.
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student
think
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student
It just becomes one.
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student
and 182
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student
then X-ray 1 minus 1 to 0. So it's just 182
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volunteer
Yeah, what's what's X to the 0 equal to?
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student
uh
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student
X-rays the part of 0.
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volunteer
Yeah
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student
is basically, wait, let me think. It's just 0, so it's just cancel.
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volunteer
No
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