use calculus, NOT calculators!!

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bprp calculus basics

bprp calculus basics

Күн бұрын

Пікірлер: 57
@givrally
@givrally 2 жыл бұрын
I learned it as f(x+h) approx = f(x) + h*f'(x), makes it a lot easier to work with.
@jamiewalker329
@jamiewalker329 2 жыл бұрын
Using a sledgehammer to crack a nut. This is 2.02^2 (2.02 - 4) + 3 =- 2.02*2.02*1.98 + 3 = -2.02*(2+0.02)(2 - 0.02) + 3. The difference of these squares is approximately 4 as 0.02^2 is negligible in comparison with the other terms. Thus the answer is approx -2.02*4 + 3 = -8.08 + 3 = -5.08.
@pierreneau5869
@pierreneau5869 2 жыл бұрын
Very interesting and nice solution, but in the title it was not indicated to find approximate solution. But like 2.02 = 2(1+0.01), it's possible to calculate the real value without calculator: 5,079192.
@mikejackson19828
@mikejackson19828 2 жыл бұрын
I love your videos, Steve. Very educational! 👍
@GeneralPotatoSalad
@GeneralPotatoSalad 2 жыл бұрын
It's funny, I never learned approximation in precalc or my early calc classes. Might've come in handy later when I had to come to grips with stuff like Newton's method.
@stephenbeck7222
@stephenbeck7222 2 жыл бұрын
Estimation is an underrated skill definitely.
@l33tsn1per
@l33tsn1per 2 жыл бұрын
Dude there is no way they just skipped linearization in precalc. Where are you from some third world country?
@Queen-be6md
@Queen-be6md 2 жыл бұрын
@@l33tsn1per wow so in usa and europe all schools are top notch? mediocricy isnt exclusive of any country and youll find mediocre places everywhere.
@l33tsn1per
@l33tsn1per 2 жыл бұрын
@@Queen-be6md nice try with the straw man argument, but my disbelief clearly came from the fact that I have never seen derivatives taught without linearization. also, stop virtue signaling everyone knows that less resources allocated towards education is detrimental to the learning process. why do you think people from poor communities try and get their kids into the "nice white schools"? You're fooling yourself if you think that money and resources dont do anything for the schools and their students, but again that wasnt even my original argument.
@l33tsn1per
@l33tsn1per 2 жыл бұрын
@@Queen-be6md sure, but to argue as if money and resources aren't at least somewhat correlated with students and quality of education is just foolish dude. Again though, not really what I was trying to argue about but whatever since thats the only thing you read out of my entire paragraph.
@JansthcirlU
@JansthcirlU 2 жыл бұрын
Mismatched paren colors at 3:29! Now you gotta redo the whole thing ;)
@bprpcalculusbasics
@bprpcalculusbasics 2 жыл бұрын
😱!!!! U r right!!!! That’s going to bother me 😆
@bprpcalculusbasics
@bprpcalculusbasics 2 жыл бұрын
I mean that parenthesis color. You may have known that I am super picky about it.
@싱미-h2f
@싱미-h2f 2 жыл бұрын
Is it -5.079192? i get this by keep dividing x^3-4x^2+3 by x-2 and put x=2.2
@Sourja
@Sourja 2 жыл бұрын
I was finding such a fine explanation of these kind problems... Thank you very much 🙂 Also, *First Comment*
@kepler4192
@kepler4192 2 жыл бұрын
1:29 *two* vs *two* point *two* is not *too* far away Intended?
@undefinedperson7816
@undefinedperson7816 2 жыл бұрын
Thanks. I only know differential method, and a bit confused by linearisation method.
@kenroyadams2762
@kenroyadams2762 2 жыл бұрын
This was truly amazing. Thank you for taking the time to share this. Very impressive!
@doublej1076
@doublej1076 2 жыл бұрын
Pre-calc not calculus :) A = 2, B = 0.02, use the binomial theorem, get the exact answer of -5.079192.
@doublej1076
@doublej1076 2 жыл бұрын
@Luffy D Uchiha I suppose it depends on how comfortable a person is doing math in their head -- I didn't have a problem with 3 * 2 * 0.0004, etc., and if I had to guess I was able to get the exact answer in three or four minutes, which matches bprp's first run-through. Though admittedly I wasn't stopping to explain what I was doing to an audience. On the other hand it was early and I hadn't had my coffee yet so that probably slowed me down. Grouping "like" terms helped once I realized that everything stayed in its own set of two decimal places. My last calculation was -5 - 0.08 + 0.0008 + 0.000008 if I remember right, which wasn't too bad.
@mohammadatiftalab228
@mohammadatiftalab228 2 жыл бұрын
Hello, As a calculus 1 student, I was quite confused when you stated that dy is approximately delta(y), I previously thought that they were the same thing as in dy = delta(y). Could you please explain that particular point?
@fatpandakoala9615
@fatpandakoala9615 2 жыл бұрын
Not sure if this is the answer: do you know that calculus graph of lots of rectangles drawn under the curve? There is always a little bit of loss while drawing those. I always thought that was the difference between dy and (delta)y
@nickfair2317
@nickfair2317 2 жыл бұрын
it’s because Δy is the change in the y value from x=2 to x=2.02 but dy is the instantaneous rate of change of the y value at x=2. dy changes at every value from x=2 to 2.2
@yesnone8813
@yesnone8813 2 жыл бұрын
dy on its own is known as the differential, it is different from Δy. Δy is based off the change in y in the original equation and dy is based on dy = f'(x) * dx.
@josefwakeling7103
@josefwakeling7103 2 жыл бұрын
very cool, this video single-handedly reminded me why i love maths and inspired me to try harder for my exam in a month
@anshumanagrawal346
@anshumanagrawal346 2 жыл бұрын
People who used Binomial and still got the same answer: 🤯
@alienx097
@alienx097 2 жыл бұрын
After watching this I have more respect for the inventor of calculator
@aditawks
@aditawks 2 жыл бұрын
This is soo interesting,shall try it out foshooo,Keep Growing
@diegograjales5356
@diegograjales5356 2 жыл бұрын
Super. Excelent.Thank You teacher.
@badnoodlez
@badnoodlez 2 жыл бұрын
Robotics mantra: the Jacobian is the best linear approximation, but you're screwed if you have to compute it on a tight time interval
@danielbickford3458
@danielbickford3458 2 жыл бұрын
I've always wondered why it's DX or DY or DT or anything like that and not delta-y or the like. Don't they both mean the change in
@AdolphHItler-rs1wi
@AdolphHItler-rs1wi 2 жыл бұрын
Delta y means change in y whereas dy means very small change in y.
@AdolphHItler-rs1wi
@AdolphHItler-rs1wi 2 жыл бұрын
Delta is just a symbol whereas the other is an differential operator
@alexpickett2488
@alexpickett2488 Жыл бұрын
Bro accidentally had a poke ball equipped with out noticing
@oraz.
@oraz. 2 жыл бұрын
The wow sound happened in my head when the values where the same.
@philkong7739
@philkong7739 2 жыл бұрын
The title is use calculus not calculator and I compute it to calculator
@bprpcalculusbasics
@bprpcalculusbasics 2 жыл бұрын
😆
@mr.techsupport9080
@mr.techsupport9080 2 жыл бұрын
8:44 lol 😂
@sammitramanan5112
@sammitramanan5112 2 жыл бұрын
i had my physics exam today and i forgot calculator at home... i come back to see this
@RideTheGamer
@RideTheGamer 2 жыл бұрын
*what's good my boy*
@SpiritUs1
@SpiritUs1 2 жыл бұрын
understandable.
@davidramos4707
@davidramos4707 2 жыл бұрын
3 is guilty
@s888r
@s888r 2 жыл бұрын
Why do you have a Pokeball in your hand?
@BBC600
@BBC600 2 жыл бұрын
Because what would happen if a Pokemon came up while he was giving the lecture and he didn't have a pokeball to catch it? I mean he's got to catch them all.
@AniketKumar-lw6su
@AniketKumar-lw6su 2 жыл бұрын
Me be like: Ok 2.02 is almost 2 so this would be 8-16+3=-5 Don't use calculus use approximation
@raicogonzalez1720
@raicogonzalez1720 2 жыл бұрын
Someone explain to me the pokeball please
@BakedAlaskaTM
@BakedAlaskaTM 2 жыл бұрын
hmm pen and paper will work
@berciuke8618
@berciuke8618 2 жыл бұрын
nah i'll stay with my calculator
@broytingaravsol
@broytingaravsol 2 жыл бұрын
the kind of rudimentary problems i've recently practiced
@user-wu8yq1rb9t
@user-wu8yq1rb9t 2 жыл бұрын
I hate calculator! Yes ... It's right ... *Calculus not calculator* Thank you teacher
@chmjnationalsuperarmygener8564
@chmjnationalsuperarmygener8564 2 жыл бұрын
??????????????????
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