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NationalTutoringObservatory
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MathEd-PII

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8
volunteer
um
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volunteer
you just need to know like the standard derivatives.
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volunteer
That way you can do the easy um antiderivatives for the intervals, but the other ones, you may have to like either derive on the spot.
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volunteer
or just kind of like remember the tricks, cause those are the more uncommon ones.
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volunteer
like the inner role of um tangent, stuff like that, where it's like log
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volunteer
um, those are, those aren't very standard.
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volunteer
They may be useful at one point, but it'd be kind of a niche.
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volunteer
But then again, I don't like, considering what you're your exams are like, I don't think they're going to be that cut and dry.
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volunteer
They're gonna be some very like
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volunteer
abstract or niche thing.
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volunteer
Where am I? You said you finished 7.2, or there's 7.3.
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student
they not gonna ask integral of tan x, for sure
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volunteer
Good. Yeah, I don't think so either.
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volunteer
I, I, I hadn't like to this point, I don't think I ever knew what the inner role of tangent was.
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volunteer
I mean, once I saw it, it made sense, but I didn't think I never really needed to know it.
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student
okay, so I just need to know the process
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volunteer
Yeah, the like,
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volunteer
for the majority of this stuff.
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volunteer
it's the process
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volunteer
the methodology, the thinking.
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volunteer
right? You don't need to know
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volunteer
the knickknacks. You just need to know kind of what tools to use when.
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volunteer
um
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volunteer
and also like
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volunteer
doing these problems helps you get used to thinking in a certain way.
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volunteer
like quicker to pick up the right form of um like what tea should be or what you should be, um,
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volunteer
but that just comes with practice and experience.
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volunteer
just kind of seeing, you know, typically what
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volunteer
becomes easier to do.
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volunteer
just from doing problems that end up becoming really hard.
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student
yeah, right
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volunteer
OK. So if you've done 7.2 or 7.3, I guess. So now we can do um trick identities.
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volunteer
Here's where you're gonna become more versed in your um
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volunteer
trait intervals and derivatives.
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volunteer
and just more practice with substitution.
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volunteer
And um I think they use double angle and triple angles, double and half angles here.
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volunteer
Imagine so
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volunteer
All right, so now, um, rather than substitution,
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volunteer
well, rather than that form of substitution, now we're going to just start solving using um or doing intervals just using trig identities.
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student
okay
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volunteer
which is an application of the chain rule.
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volunteer
after you subs it up. So for the first example, did you want to try, um, we'll go through the first example.
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volunteer
and then if you wanted to try to on your own, and then we can kind of go through 3.
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volunteer
or you want to do 2 together, 1 and 2 together, and then go through 3.
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volunteer
I'm sorry
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volunteer
So these end up being pretty short.
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student
yes, I can try them
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volunteer
Did you at least want to try the first one together or you, you feel confident enough.
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volunteer
You should.
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volunteer
You're pretty. You should feel confident. I'm sorry.
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volunteer
These half thoughts
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student
I'll try it first. if i can't, then we can see where i mess up
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volunteer
All right
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volunteer
I believe in you
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student
thanks! i do too
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student
can you zoom in ?
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student
yes! looks good
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student
done!
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volunteer
Good. How'd you do
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student
idk if they are correct. they were moderate
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volunteer
They were moderate, oh, and difficulty. Uh, we can check the first one.
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volunteer
Did you get X over 2 + 1/4 2 X.
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volunteer
s square
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student
oh, no i forgot to divide by 2
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volunteer
Yeah, 2 co-signs for X minus 1.
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volunteer
Still good job though if they were only off by a factor of 5.
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volunteer
Sorry.
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volunteer
2
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volunteer
an a factor of 5
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student
factor of 2 i think?
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volunteer
Oh, it is a factor of 2
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volunteer
I don't know why it keeps
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volunteer
saying 5 instead of half.
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volunteer
Huh
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student
i got this one wrong.
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volunteer
Can you see the
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volunteer
the UP bot when I type into it.
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volunteer
It says that you should be able to.
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volunteer
your student can see our chat and ask me questions too.
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volunteer
It just solved the
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volunteer
inner growl of cosine squared x.
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volunteer
Smartypants
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volunteer
chatbot showing off.
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volunteer
You got the
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student
I can't see
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volunteer
you got the first example problem wrong, the cosine squared.
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volunteer
Oh
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student
yes!
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volunteer
you can't see the
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volunteer
chat, never mind then
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volunteer
Did you want to go through it together
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volunteer
Or was it just um
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student
yeah!
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volunteer
All right
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volunteer
So
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volunteer
oh, I see it on the board. I didn't see it.
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volunteer
I'm sorry, I had the screen blocking the entire time.
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volunteer
So you got one plus cosine 2 X.
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volunteer
I think, I think you got the sign wrong. It should be 1 minus.
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volunteer
Is it 1 plus?
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