Is it recording?...
Yeah recording.
Hey guys!
It's Julie Tutorials!
And today i'm going to teach you how to do
simple derivatives.
A lot of people have been asking me how to
do simple derivatives for a long time, and,
I didn't think it was like...
I didn't think it was necessary, because it's
so easy... but, apparently it's not that easy?
I don't know, i'm probably just like... gifted.
So, to do simple derivatives, you will need
a pencil.
So, this pencil, a Pentel Click with lead
.07.
Umm... you don't need this pencil, but, it's
highly recomended.
You could use whatever pencil you want, but
this is like, a really good pencil.
Again, it doesn't have to be this pencil.
It's up to personal preference, but, if you
want to derive correctly, i would suggest
you get this pencil.
You will also need, an eraser.
So, I like to use this Staedtler one.
This one I sometimes use when I do art, but
like, i'm not teaching you guys art today.
So like, yeah.
This is a Staedtler Mars plastic eraser.
And, just like the other pencil, I found it
on the floor- or I stole it from a teacher.
Either way.
It all just comes down to personal preference,
but, you guys asked me... so....
Get with it.
Hey!
You wanna be in the video??
This is Gordo, he's... he's fat, He eats a
lot.He's not really important.
Like he, he's just fun to have around; I don't
know, so that I could bully.
Your Ugly!
No one likes you!
You're NOT going to college!
Yeah.
You're Adopted!
Yeah how's that one?
Get out of here.
You're useless to me.
SO LETS BEGIN!
So, in order to derive this, you first need
to clean your workstation.
These are just like, awards that you get.
This is what happens when you're like... naturally
gifted.
It's not important.
You know.
So you just get these awards, throw them to
the side, or something.
I don't know.
A plaque.
Who needs a plaque these days??
Trophies?
Useless.
Paperweights, more like it.
So, you pull up your equation, and- here,
let me focus...
This doesn't seem to be focusing- I think
my camera's broken.
There it is.
So, like, to derive X^2 +6- oh, my nose is
itchy- you first need to start off, with the
X^2.
You take your 2, and multiply it to the number
in front of the X.
In this case, there's no number, but there's
always an invisible 1 in front of a variable.
So, you take your 2, and you multiply it to
this 1.
Jusssst.. like... thhhhat..
So, you're left with 2X.
You see- you see how we did this?
You got- you take this 2, and you multiply
it right here, and you get 2 in the front.
Then you always subtract 1 from the exponent
of the variable.
So this 2 here, you subtract, 1.
And 2-1 isss....
Perfect!!
So you get 2X to the 1.
Good!!
Now for the second part, since 6 is a constant,
the derivative must equal to 0.
So basically, if you have a number by itself,
you forget it's entire existence.
So, you get your 6, here, and you...
cancel it out.
So you get 2X to the 1, + 0, and you can simplify
this to 2X.
So, the derivative of X^2+6 is just, 2X!
Woww!
Amazing right?!??
Aren't I incredible??
Perfect.
Wow.
So, we're not going to be using a pencil-
i'm feeling a little frisky.
So instead.
we're going to be using this permanent- mar-
I don't know if you can see that??
I got this at the Dollar Store.
It's like, very nice.
It's like, purple- I don't know if you can
see?
It's purple, it's like a nice, deep purple.
Anyways...
So, to derive this, remember?
You take the 3, the exponent, and you multiply
it to the number in front of the variable.
So 3x5 is 25- Just like that.
And remember, you subtract the 1, and 3- -- now
the next step.
You take the 2, and you multiply it to the
other 2, that's 4 X.
Now subtract a 1 here, and that's 2-1 is 1.
Just like that.
That's the derivative of that.
Now. this one, this one can be a little tricky
since there's no exponent here, but there's
still an X. Remember, there's always an invisible
1 here.
Wow, just like that.
I'm- i'm not even IN calculus.
So you take this 1, and you multiply it to
the 3.
So it's, 3X. and since you subtract the 1...
Ohhhhhh...
So, you multiply the 1 to the 3, so you would
get, 3- oh god.
Oh no ,y- my brand new pen!
And, since you subtract the 1 here, that means
that there is no more variable, because an
exponent to the 0 is just a 1, So this whole
thing is canceled out.
So we just get 3.
I don't know if you can see that 3...
And remember what i said about constants-
constants are just, canceled out.
so it'd be plus 0, 3+0.
To simplify this, it would just be 25X^2+4X-3.
And... that's your derivative.
Wow.
Amazing right?!?
Thx.
Umm.
Thank you so much for watching my tutorial
on how to do simple derivatives.
Amazing- i'm like, the best person ever.
Like, yeah!
Thank you so much for watching, now you can
get over like- your stupidity, and, learn
how to do simple derivatives- it's not that
complicated.
I'm amazing, aaand you guys love me... so
tha- that's a thing.
I don't know why, i'm an a**hole...
But like, see you guys later!!
