Datasets:
NationalTutoringObservatory
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MathEd-PII

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xet
 Community
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2.1k
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int64
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8
volunteer
let me try to draw it bigger next to the graph
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student
yeah its too little for me thats why i keep missing up
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volunteer
yep it's kind of small
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volunteer
but does what I drew make sense?
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volunteer
you have to count the squares and also give it the right sign based on whether is above the axis or below
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student
yes
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volunteer
so now the domain (X) would be between 0 and 4
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volunteer
and the range (Y) would be between -2 and 2
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volunteer
do you know how to write that up on the sheet
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volunteer
I see little keyboard symbols next to domain and range, not sure what that means
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student
i put that and it says it doesnt work
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volunteer
Do you have to click the keyboard symbol?
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volunteer
Do you guys use less than and great than symbols for domain and range < and >
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volunteer
or do you use brackets and parentheses (x,y) or [x,y] ?
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student
ohh ok lemme try again
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volunteer
sure
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volunteer
I'm still here if you need my help figuring out how to type it in.
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volunteer
Unfortunately I do need to end the session in about two minutes. I hope this has been helpful for you.
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student
this has but okay
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volunteer
Let me type in two different ways you can write the domain and range for graph #6
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volunteer
I hope that helps guide you with the other ones
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student
okay David
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[ { "pii_type": "PERSON", "surrogate": "David", "start": 5, "end": 10 } ]
student
sorry if i wasted your time.
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volunteer
not a waste of time at all
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volunteer
I'm just now sure which way you're supposed to write them in
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volunteer
so I put both ways in there for you
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student
okay ty!
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volunteer
no problem :) Take care!
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student
hi
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volunteer
Hi Maya
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[ { "pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7 } ]
volunteer
okay
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student
i have this so far hold on let me writs
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volunteer
okay
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volunteer
looks good to me, but let me double check
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volunteer
yes, you got it. but you can simplify it further
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student
i can combine e^x and 3x right
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volunteer
that won't help. but you see there is a common factor between 3x and 6
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student
does that work
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volunteer
yes! btw, you can drop that 1
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student
thanks
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volunteer
you are very welcome.
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volunteer
any more question?
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student
yeah, a chain rule question. Can you give me a quick second
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volunteer
sure
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volunteer
you want to give it a try first?
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student
yeah
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student
is this a combination of chain rule and product
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student
or just product
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volunteer
it is just product rule
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volunteer
you got it!
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student
i just have a problem understanding the formula
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volunteer
the chain rule formula?
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student
yeah
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student
like the middle part
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volunteer
I see
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volunteer
Let me think about how to explain it intuitively ok?
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student
ok
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volunteer
let me try one explaination
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volunteer
we would like to compute the derivative
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volunteer
of h(x)
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student
ok
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volunteer
which is the instantaneous rate change in h(x)
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student
ok
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volunteer
I will write down the rate of change formula
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volunteer
this is the rate of change of h(x) when we increase x by a little bit
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volunteer
does this make sense to you?
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student
Yes, I'm familiar
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volunteer
great
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volunteer
next, I will apply the definition of h(x)
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volunteer
I just replaced h() with f(g(())
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volunteer
next step is the key step
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volunteer
I just multiplied the rate of change by 1
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student
right ok
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volunteer
we are almost there
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volunteer
I just swapped the two terms in the denominator
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volunteer
you see the second term is just instantaneous rate of change of g(x), so it is g'(x)
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student
ok
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volunteer
if we set g(x)=u, then g(x+**) is like u+**
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student
oh like u sub
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volunteer
yes
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volunteer
this is one way to think about
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student
im thinking about how i would apply it here
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volunteer
oh I see, I thought you already got it
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volunteer
you got the g'(x) part
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volunteer
you got the f'(u)
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student
right
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volunteer
almost. let me show you. It seems you got scared
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volunteer
actually you just have to follow the fomula
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student
ok
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volunteer
this is the formula you learned. right?
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student
right
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volunteer
let's copy what you have written down
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volunteer
finally we have to replace u with terms of x
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student
oh yeah you cant have u in an equation that started as x
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volunteer
yes
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student
thanks that makes a lot more sense
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volunteer
you are very welcome.
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volunteer
I think you are in very good shape.
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student
thank you
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volunteer
you are very welcome.
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