I can't stand this faggotry

Okay, American quantifiers, right angle markers, etc. are okay and  sometimes even logical, but why the hell do you use that gay derivative notation? isn't sin'x simpler than d/dx sinx? If you aren't a fucking cretin, who I assume most of people here aren't, the first notation is as easy to manipulate and work with as the second one, and certainly less bitchy to write and type.

Faggots.

My first troll.

>>1
we use f'(x) when we've already defined a function f(x), and d/dx whatever when we haven't.  i'm sure if you wrote sin'(x) and showed it to someone theyd be able to deal with it, but, particularly in the case of trig functions with their already stupid notation, i can't agree that it would be any kind of sensical to notate it that way.  i already disagree with the sin^2 x thing.  its a function.  there should be parentheses.  the exponent should come at the end.  sin(x)^2.  it might be simpler to do it the other way but its a retarded exception to how things are generally notated.  plus d/dx style notation is a fuckload more useful if you've got other variables floating around.  for instance, d/dx sin(y) definitely requires noting which variable the derivative is in terms of.

>>1

I don't know where you've been getting your information, but in America we're taught both notations.

>>4
If you think you're taught both notations you haven't been paying attention in class and apparently don't understand multivariable calculus, as per >>3.

>>1
when the function isn't explicit, dy/dx is useful

Okay? This post is really dumb. Why don't you use the operator notation, D[f(x)]=f'? It's easy to write, you can write it for implicit functions, and you can use subscripts D_u[f(u,t)] to denote partial differentiation. Not only that, but you can easily show higher order differentiation--for example, the nth derivative--simply by D^n[f(x)]. Do you learn this wherever the hell you're from?

don't be such a f''''(x)

>>1, writing derivatives in the notation that you claim is "easier" (i.e. sin'x) is may be easier to write and type if you are a lazy fuck and can't stand to write the extra few letter, but d/dx form is manipulated mush easier, and can be used for both explicit and implicit differentiation.

for example, the equation 3x^2+xy+2y=15. fairly basic. find the derivative of that using prime notation, then find it using d/dx notation. which is easier?

and >>5, we are taught both notations in america. i have hardly used prime notation at all this school year. 90% of my work has been in d/dx form.

>>1
Use dy/dx notation because it makes learning the chain rule more natural.

I don't even use sin'(x).  I just say cos(x) and have done with it.

I am EXPERT ANALYSIST.
I jerk it nightly to SPIVAK and I only know and use the ONE TRUE DERIVATIVE NOTATION:

D, the Jacobian, the matrix of all PARTIALS.

Try being as smart as THAT without having read SPIVAK.
I am EXPERT ANALYSIST.

>>12
tangent space bitch, do you know it?