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volunteer
Do you want to move on to the second one now?
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student
wait but what about the exponent do i leave that to a negative
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volunteer
Yes if you want
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volunteer
You can also make it a fraction and use the formula a^(-b) = 1/(a^b)
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volunteer
But it
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volunteer
's not necessary
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student
because i do have the answer key for the review sheet but it simplified it when i just looked at it
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volunteer
Are the 2 equivalent?
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student
what do you mean
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volunteer
Can your answer be simplified to match theirs?
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student
yes
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volunteer
Then you're good
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student
but could you show me how it would look like when i simplify it please
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volunteer
Okay, if you want
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student
like the process
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volunteer
Sure
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volunteer
So you have a negative exponent
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volunteer
How you would deal with that is make it a fraction
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student
make it over 1
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volunteer
I think you might be able to figure out the rest
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volunteer
You distribute the 2
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volunteer
Then put the polynomial in the numerator of the fraciton
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volunteer
That might be what's on the answer key
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student
yes
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student
alright thank youuuu
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student
okay let me but the second question
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volunteer
Sounds good
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student
okay is it like the same thing as the chain rule
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volunteer
Yes
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volunteer
Exactly right
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student
ohh okay
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student
that was easier than i thought
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volunteer
Good!
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student
here is the enxt one
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student
same thing?
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volunteer
Yes, but you might find a challenge differentiating the inner function without a next step, try though
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volunteer
Not quite right
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student
wait wait
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volunteer
Still not quite
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student
yeah i figured
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volunteer
I can help if you're confused
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student
yes please
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volunteer
You were correct to add the parentheses
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volunteer
What is the outer function
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volunteer
?
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student
it's sin^2
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volunteer
Yes, but we don't know how to differentiate that
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volunteer
What's the outer function within sin^2?
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student
sin
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volunteer
That's the inner function
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student
i am confused
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student
confuse by the question? isn't sin^2 one function
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volunteer
Yes, sin^2 is one function, but it means (sin(x))^2
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volunteer
It is something squared
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student
okay
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volunteer
What do you think the outer function is for sin^2(x)?
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student
sin^2
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student
and the x is the inner function
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volunteer
That's true but it won't help you
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volunteer
What if instead of sin(x)^2 it was (2x+1)^2?
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student
then would it be (2x+1)
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student
or like an invisible 1
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volunteer
2x+1 would be the inner function
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volunteer
The outer function is some function w(x) such that w(2x+1)=(2x+1)^2
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volunteer
What do you think w(x) could be?
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volunteer
Maybe I should give this one to you
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student
2x
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volunteer
Close
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volunteer
If w(x) was 2x, it would be 2(2x+1) not (2x+1)^2
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student
ohh maybe x
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volunteer
No
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volunteer
I might just need to tell you this one
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student
yes please
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volunteer
x^3
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volunteer
^2
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volunteer
Sorry, it's x^2, that was a typo
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volunteer
If x is replaced with y) for our example, we get (sin(x))^2
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volunteer
Which is sin^2(x)
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volunteer
For the other example with 2x+1, if we replace x in x^2 with 2x+1, we get (2x+1)^2
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student
could you write it on the board so i can visualize it more
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volunteer
Does that help?
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volunteer
We could try a table if not
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student
to be honest not really but it's okay we could move on to the next question just because there is a lot and i don't wanna get stuck on one quesiton
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volunteer
Fine
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volunteer
I can show you the process if you want instead of just skipping it though
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student
sure, ill put it up again
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volunteer
I can just do it without it
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student
okay
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volunteer
Does that make any sense?
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student
yeah
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volunteer
Good enough then
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volunteer
We can move on now
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student
alright
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volunteer
Although I might have to go soon
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volunteer
We can start
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student
alright
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student
how long you staying?
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volunteer
Probably ~10-15 minutes
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student
okay
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student
so for this i know to trun the sqare into another form idk what it' called
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