/sci/ - Science & Math

>>1426758
The rate at which something changes.

w/ respect to x

Go die.

>I'm talking Calculus III.
>Can someone explain me what a derivative is?

chances of you being made to understand derivatives approach zero if you have made it through calc 1 and 2 without even accidentally getting it yet.

this has to be a troll.

>>1426762
You're so helpful.
>>1426771
You're so funny.
>>1426777
No, I'm not.

is this a troll?

Rate of change, how quickly something is changing.

I accelerate quickly from 0 to 10 times light speed

>>1426758
Ok,

say you have two points both in (x,y) format.
change x = triangle x = x2 - x1
(like wise for y)

If x2 is very very very (infintly close) to x1 then change x = dx
(like wise for y)

Don't mind me, I'm a retard

>>1426758

Integrals (the simple kind you know in Cal 3)
are basically and extentsion of summation

In summation I add descrete parts (chunks of things)

The size of a chuck would be triagnle x * triagnle y

In integrals the size of the chunk is infinlty small. Hence I have dx* f(x)

Let's try an example..

Give the instantaneous rate of change (from the point at my post) on how fast this thread is heading toward a maximum of retardism.

Slope at a point.

>>1426782

your the one that is in calc 3 and cant derivative. If you think I'm joking when I say that you will probably never get it then you are basically saying that your math ability is a joke >_>

which is actually pretty funny so please continue.

>>1426815
f(x) = overall retardness of this thread at the x'th post
f(x) = g where g is graham's number
f'(x) = 0

>>1426844

You have given the proof that 4chan can never reach maximum retardism.

It can only approach it as a limit.

Dear god the consequences...

>>1426803
you can have my trip code, i don't care lol.

easy explanation.
integral is base x height
F(x) = height x an infintesimal base = dx
amiwrong?

OP must be a girl. only girls could be this retarded.

>>1426758

Really? you don't understand things changing with respect to time?

Think about how everything takes time in order to happen and how things go at different rates in comparison to time.

>>1426869
But you're a master of karate and friendship for everyone!

>>1426758
It's the slope of a line at a given point. That's why a y=x function derives to a constant and a constant derives to zero, etc.

http://www.youtube.com/watch?v=P9dpTTpjymE

Can someone explain me what an addition is? I don't get the combining collections of objects concept. The sad part is that I'm talking Calculus III. I can do derivatives and integrals, but I don't fully get the 1 + 1 = 2 part.

Also, what the fuck is multiplication? Why is it that I can apply it to real world situations?

<span class="math">\sum\limits_{x=a}^b f(x)\Delta x[/spoiler]
<span class="math">\int_a ^b f(x)dx[/spoiler]

A summation is basically a discrete integral. When you learned integration, you should have learned about the approximation of an integral using Riemann sums. The <span class="math">\Delta x[/spoiler] is the size of the partition. Typically, the partition when using <span class="math">\sum[/spoiler] is 1, but it can be any positive real number. <span class="math">dx[/spoiler] is basically <span class="math">\Delta x[/spoiler] but as small as possible without being 0.

The derivative is basically a functional and graphical representation of how f(x), it's antiderivative is changing.

Any point x, on f ' (x) is just the slope of that same point x at f(x). Think of the relation between the turning points of a function and the roots of its derivative.

>>1426936
LMAO, funniest post of the day!

Absolutely NO way you could of made it to Calc III, let alone Calc II.

No fucking way...

>>1426844
is that more or less retarded than the average /sci/ thread?

>>1427067
It is probably a class for "engineers".
They never really learn shit, just "procedure" and "grunt work".

So, everyone in this thread sucks at explaining anything.

Rate of change, is the speed at which something is changing. To use a physical example, your equation is location, your rate of change is velocity. That is, how fast your location is changing.

If you go from a point at some line 0 to 100 m away in 5 seconds, the rate of change of your location (velocity) is 20 m/s.

As far as thinking about if graphically, imagine the location being on the y-axis, and time on the x. The slope of the line is the rate at which your location is changing with respect to time. So, v = d(location)/dt

there are lots of proceduralists in math courses
they can do the procedure but don't understand why the operations work
similiar to people who operate cars but whom do not understand how the car actually functions

for example, most physicists and mathematicians don't really grasp what linear algebra actually is

so if you're criticizing OP, better cast that criticism onto yourself first, you snobs

>>1427133
>implying you know how a car works

>>1427133
>physicists and mathematicians don't really grasp what linear algebra actually is

WTF?
I think you mean engineers

OP when you learn both differential and integral calculus, you learn the 'two major problems' that arose to calculus.

The velocity problem and the distance problem.

The velocity problem relates to the tangent line at a point. That slope at that point is the instantaneous velocity at that time.

The distance problem relates to the area under the curve. The area from time 1 to time 2 is the total distance traveled in that time span.

In other words, derivative is how the graph is changing, and the integral is how has it changed.

>>1427154
>implying you're not a dumbass who can reading comprehension

>>1427160

Also, the major thing you should of learned from the two is that the derivative and indefinite integral are inverse operators. That is, one undoes the other.

This is the Fundamental Theorem of Calculus.

>>1427205

And 'dx' or 'dy' is an infinitesimal change in x or y.

You know what deltax means (xfinal-xinitial)? It's like that except it's infinitely small, but NOT zero. Massively small.