>going over something with derivatives in class >fucking

the only thing i want derived are my categories

what's the difference from deriving and differentiating? better yet why call it a derivative and not a differential?

>>8521434
A differential is the little "d" in the [math] \frac{ dy}{dx} [/math]

>>8521447
so you're saying that in the derivative dy/dx,, the subscript d is the differential? that's it?

>>8521448
>subscript

>>8521448
dx, dy, dz, dr, d(whatever) are differentials. A derivative is the ratio of differentials.

>>8521454
well it's a subscript to the whole function isn't it?

Hey man, I'm an engineering major and I get autistically mad when someone says derive instead of differentiate. I think it's a product of people cramming math concepts and regurgitating it on the exam, not really understanding it.

File: image.gif (7KB, 279x233px) Image search: [Google]

7KB, 279x233px

>>8521458
no

>>8521460
Me too, but I still hate engineers. Most are insufferable.

>>8521429
t. elite 1st year math major taking calc 1 in college when he should've taken it in high school

>>8521434
>>8521447
>not derivative, derive, and derivential
>not derivative, deriventiate and derivential
>not difference, differentiate, and differential

It's clear mathematicians can't into words properly

>>8521460
nah you are just an autistic like op
"derive" is OK as long as it is clear from the context that you mean "taking the limit of the difference quotient"

>>8521482
>"derive" is OK as long as it is clear from the context that you mean "taking the limit of the difference quotient"

>implying people who use "derive" actually understand that they are "taking the limit of the difference quotient"

>>8521482
>an autistic
yeah let's trust this guy when it comes to how to use words

>>8521492
actually that's correct
"autist" is not a word

>>8521502
and autistic is an adjective.

>>8521504
also a noun

>>8521505
austism is a flower

>>8521458
found the >engineer

>>8521429
The people who ask the dumbest questions usually end up having the best understanding of the material.

>>8521511
this has absolutely nothing to do with the question he asked

>>8521447
Suck my cock, that's wrong you brainet faggot
A differential is the linear operator that best approximates a function around a point. The rigorous definition is that you decompose the function around a point as the sum of its value in said point, the differential, and a small o of the distance from said point.
When working from R to R a derivative is a differential

>>8521658
>When working from R to R a derivative is a differential
Can you give an example where derivative is not a differential? t. engineer undergrad

>>8521429
Maybe English isn't his native language, in which case he speak two languages and you only one

By the way : [math]\frac{dx}{dt} \frac{dt}{dy} = \frac{dx}{dy}[/math]
Prove me wrong, mathfags

>>8521429

lol.
I'm still not going to stop using it, autistic mathfag.

>>8522003
you retarded nigger
reminder everyone secretly cringes when you do

i dont understand

dx/dy

don't the d's just cancel out

>>8522054
yep

>>8522054
Yeah

>>8521882
I don't need to prove you wrong, since your statement is correct.

dx/dt is an expression of the rate of change of x, with respect to the variable t.

dt/dy is an expression of the rate of change of t, with respect to the variable y.

If you can find both these things, you can use them to find dy/dx

>>8522054
"dy" and "dx" are separate expressions, and the "d" not a variable in itself.
dy/dx is an expression used to compare variables, not a fraction

>>8522072
an x/y is linear graph, so i dont get whats so hard about calc hahaha totally gonna fail this final BUT I DONT GIVE A SINGLE FUCK NIGGA

File: 1312042916451.jpg (18KB, 343x377px) Image search: [Google]

18KB, 343x377px

>>8522072
>Dy/dx is not a fraction
>Yfw using separation of variables to solve differential equation

>>8522072
im in engineering we do cancel the d's in dy/dx all the time, i get straight As

>>8522083
yeah you cancel the ds by doing the integral

>>8522085
we just do the simple ones where we can just cancel without doing the integral . we were shown how to do the integratin but its to advanced for the class for now

>>8521457
listen buddy, those are called infinitessimals.

>>8521429
That's not as bad as when people say
>then you times it by [thing]

>>8522087
lmao it's literally the opposite of deriving
you just add 1 to the power instead of subtract

I don't blame you though it's pretty advanced stuff

Translation errors between different languages are common and irrelevant.

>>8522099
>>8521882
nope the guy was clearly American

>>8522103
I meant between Math and English

>>8522054
yes

>>8522037
>everyone secretly cringes
no they don't you autist.

>>8522069
Ok, then what about [math]\frac{dx}{dt} dt = dx [/math]

>>8521511
HahahahahahaHahahahahahaHahahahahahaHahahahahaha

>>8522155
yeah they do lmao

>>8521447
>>8521448
>Leibniz notation
Why aren't you using [math]\lambda[/math] calculus to express differential calculus yet?

>>8521882
>Chain rule
This has nothing to do with multiplication of fractions.

>>8522173
That's just the transformation from one variable to another when integrating.

>>8522183
your chain of hahas reminds me of a sinusoid

>>8521429
>being this autistic about terminology

>>8522173
lol are you dumb? You simply have the differential equation

dx/dt = dx/dt

if you flip dt to the other side

and the solution is any function x(t) because its derivative will equal its derivative you dummy dumb dumb.

>>8521457
no. you can't divide elements of the dual space
>>8522078
>my notational heuristic tricks are real math
>>8522173
this is a heuristic. this notation doesn't mean anything, it brings to mind the idea of relating integrals
>>8522090
fuck off

>>8522449
the question is why you can do these retarded notation tricks. you're making several applications of chain rule + inverse function theorem

>>8522451
>>my notational heuristic tricks are real math
Isn't that the whole point of math?

>>8521434
A derivative is a mathematical object resulted after a differentiation. A differential is a slight change. In the classic delta-epslon limit's definition, the differential is the smallest number such as it is > 0.

>>8522449
The equal sign here is not transitive, dx is deduced from the member of the right

>>8521457
Not quite, the variables need to me relates somehow.

>>8521434
It's because english is weird. "Deriving" doesn't actually have anything to do with derivatives, it means something like "proving" or "deducing", whereas "differentiating" refers both to the computation of the derivative of a function (ie. a scalar), and to the computation of the differential of a function (ie. a linear map), which are two different (though related) concepts.
In french we have two words: "dériver" to say "compute (partial) derivatives" and "différentier" to say "compute the differential".

>>8522519
Never heard "différencier". "Calculer la différentielle", yes.

>>8521876
Say we have a function from R^2 to R.
This function is 0 for every point of the domain, except for points that lie on x1 = x2, x1 > 0 (branch of parabola domain), there, the function is 1.

Now if you take the directional derivatives in 0, they all exist and are 0, but the function is not differentiable

>>8522873
* x1 = x2^2
Sorry for the mistake

>>8522873
>>8522878
Ok, thanks!

"The amperage through a resistor in parallel with another can be calculated by timesing the total amperage by the value of the other resistor, and slashing it with both values plussed together."
"The wattage is just voltage timesed by amperage."
"The sin (literally says 'sin') function is the antiderivative of the cos function."
"The dirac delta function is infinity at x = 0."

>>8522992
>"The wattage is just voltage timesed by amperage."
correct, unless it's a function of time

>>8523004
This thread is more about taking issue with other people's choice of words.
The rest of my statements are equally true, if poorly worded.

>>8522992
I'm an engineer and we never use that kind of terms

>>8522992
>"The amperage through a resistor in parallel with another can be calculated by timesing the total amperage by the value of the other resistor, and slashing it with both values plussed together."

Nobody actually talks like this, right?

why are you all so autistic, you all know what the guy in OP is trying to say.

>>8523402
yeah but why not just use the correct word

>>8521429
Calm down freshman.

>>8522054
Shit, I hadn't thought of that. Welp guess I'll scrap this dissertation on triple integrals