I had to miss a class because of a stupid field trip, can someone explain how to do this please?? the professor would not respond to my email.

4x^2 + 9y^2 = 36

a) find y' by implicit differentiation
b) solve explicitly for y and differentiate to get y' in terms of x

http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/implicitdiffdirectory/ImplicitDiff.html

i think that's a pretty good explanation of it. that's gonna be y'=-4x/9y; y=+/- (4-(4x^2)/9)^1/2; y'=+/- -4x/(9(4-(4x^2)/9)^1/2) and then you can specify + or - for +/- y value (maaaybe)

parentheses, i don't need parentheses

isn't b ((4-4x²)/9)^1/2? if so that's a real pain in the behind to differentiate but I got it

am I a bad person because while I probably can't do the problem above without looking up stuff since it's been a while since I did calc, I also find it astounding that people don't know basic calculus?

I knew so many humanities majors who took a math class where they colored by number and I would be straight up insulted if I was them but then I guess engineers don't think much of english huh.

well no because the first 4 is not included in the second set of parentheses i don't think. otherwise the 36 would have reduced to a 4 for no reason.

but apart from that yeah that's what i meant to type, i'm not sure if i messed it up but i don't like reading this notation for calculus

yeah that is kind of dumb pidge, this is what you learn in calc I! don't start because what HS needs to do a better job in teaching aint a subject you wanna mess with bro.

ok esiann yeah I forgot that I already did that part and I started the problem over agian

no I mean like DERIVATIVES and INTEGRALS and shit. maybe you don't remember how to integrate e into ln or whatever TRICKY ONES there are, but I always thought it was kind of important to understand the basics of it.

I wouldn't blame someone if I gave them an equation to find the limit of and they couldn't do it, but if you don't even know what a LIMIT is, it kind of distresses me!

yeah I vaguely remember how to do it and esiann's link helped, I just mean I wouldn't blame someone for not knowing the specifics of something like implicit differentiation off the top of their head but if they are like "UMM WATS A DERIVATIVE" it's a bit like "damn son".

sort of like how I know what mitosis is but I probably can't name all the phases and what they are like (I can only think of three off the top of my head, meta, ana, and telophase, and I know there are four) but I still know it's CELL DIVISION. I don't expect specifics from someone outside of the major but I expect them to know a bit about the subject!

prophase, metaphase, anaphase, telophase

oh wait that wasn't a question. but a lot of people think higher math will never be useful to them and perhaps they are right. i know most of the kids who graduate from my high school don't know anything about calc terms, and it's probably about the same here. it's useful for a lot of things but my friends can't do the math required for stats or economics or really basic programming. it's nice to be well-rounded but it's not really necessary. and at least when you're not well-rounded you have obvious strengths

I couldn't care less about it. actually the only stuff I'd care less about someone knowing is useless philosophical shit. but in general I think this kind of knowledge a pretty bad thing to judge people by, what can you really derive from 'he/she doesn't know what lim x -> 0 blah blah means'

f(x) = ((he)' * (she doesn't know what) + (he) * (she doesn't know what)')/(she doesn't know what)^2

thats right I did it, f yall

ty for the help es-master

no I know it's completely useless compared to yeah philosophy or something but I guess BEING INDIAN RAISED has ingrained me with the idea that if you don't know some basic things about math et al by the time you're out of college it's WEIRD to me.

Calculus isn't basic

Geometry and Algebra maybe but tell me when you've ever used any of that shit practically in your life.

FYI I failed both of those too

man i'm a beast at calculus for real. i love it. it's not hard, except some of it is laborious like "partial fraction decomposition" or whatever the fuck i'm learning now.

implicit diff. is somewhat easy. aren't there like college courses solely on it?

I've got mathcad so if anyone wants to instantly check if differentiation or integration is correct HERE WE GO

Hey Fire Mage I missed an entire day of partial fractions a couple weeks ago. Few questions: How many fractions do you use to solve any given problem, and what fractions do you use for denominators like (x^2)(X+4)? You were supposed to do something weird with the X^2...but I dunno.

there's no real set number, it depends on the terms you have really.

and for that other question, you do fractions for every power of x and every polynomial power so you'd do:

A/x + B/(x^2) + C/(x+4)

Idk how your teacher wrote it but that's how mine does.

Similarly, if it was (x)(x+4)^2 it'd be:

A/x + B/(x+4) + C/(x+4)^2


hope it helps?

I've got mathcad so if anyone wants to instantly check if differentiation or integration is correct HERE WE GO

wolfram has a pretty badass online integrator

http://integrals.wolfram.com/index.jsp

Hey Fire Mage I missed an entire day of partial fractions a couple weeks ago. Few questions: How many fractions do you use to solve any given problem, and what fractions do you use for denominators like (x^2)(X+4)? You were supposed to do something weird with the X^2...but I dunno.

You use a many fractions in such a way that each fraction is able to be integrated with basic tools. The number of fractions in which you can simplify a function depends on the form of such function:

http://tutorial.math.lamar.edu/Classes/CalcII/PartialFractions.aspx

You use a many fractions in such a way that each fraction is able to be integrated with basic tools. The number of fractions in which you can simplify a function depends on the form of such function:

http://tutorial.math.lamar.edu/Classes/CalcII/PartialFractions.aspx

bleh marmot bleh!