Deriving the Derivative of y = arctan (x)

[PerfectionKiIIs]

you're jesus christ aren't you

[aaron22555]

you should change your name to patrickGOD

[BenOmarbaOmar]

Maths is killing me :(

[250Roachclip]

can that also be written as 1/x^2+1 ?

[ForgottenMemmory]

AHH Thank you! this is on my exam for tomorrow hopefully all goes well lol

[isuruar23]

Can you also do videos on deriving derivatives of arcsin(x) and arccos(x)?? PLEASE!!! Thank You!

[shapeurmind]

It's a lot easier to memorize if you understand it first...great explanation :)

[patrickJMT]

@shapeurmind glad it made sense. this is the way that the derivatives of many inverse functions are done

[l0Like0It0Like0That]

I LOVE YOUR EXPLANATION! but the only problem is in (our) tests & exams, we don't have that time to work out such a derivative, we must memorize it and be quick. Anyway. thanks a lot for this video, people like you who made me love Math :D

[joejar77]

good video. it is good to know how and why to differentiate the original problem rather than just memorizing the end result. that is how it is in my calc class. we can use a formula sheet which does correctly give commonly used derivatives but once again, it is good to know how and why to derive them.

[patrickJMT]

@joejar77 hal tell that to the person who made a comment about 6 comments below yours : )

[xvirax]

Thank you soooo muchhh!

[Delcum02]

Your the man Patrick...

[mrhozer]

This is great patrick! Thanks. I think I'll stick to the memorizatino for this one though, since it would take half an exam time just to come up with these equations.

[kingosification]

useless u can just memorize it without all this long demonstration

[junyah54]

@kingosification Yeah but some teachers(like mine) want students to this on tests....i think it's stupid, but some of us have to do it. =/

[patrickJMT]

@junyah54 it is not at all stupid.

[junyah54]

@patrickJMT haha sorry sorry...but yeah, i got the bonus question on my midterm today!! hopefully my teacher accepts your way of doing this.

[patrickJMT]

@kingosification your comments are useless.

[puttputt1158]

I'm not gay but... i love you for this!!!

[8point1]

You are the man! just what I was looking for

[alreadytakenthe3rd]

Why not just replace the y in sec^2(y) with arctan(x) and get that the derivative equals sec^2(arctan(x))?

[ShinyMudkipable]

@alreadytakenthe3rd You could probably do that, but the formula we get from using the identities is just simpler.

[alreadytakenthe3rd]

@ShinyMudkipable Yeah I don't know what I was thinking with that comment ahah.

[rinwhr]

Personally I use differentials to remember.

[RobertMStFleur]

Great job and thanks Patrick.

[patrickJMT]

@RobertMStFleur  my pleasure

[Polyhedra613]

Great job, patrick! I want to be just like you, a lover of math!

[efralopez1]

Definately buying the app

[Moondye7]

I really liked the video, great job please don't stop :)

[spritzfire009]

ohhhhhh

[Hannanstl]

I will derive !

[integralmath]

@Hannanstl: just don't drink and derive. =P

[TheZERODEGREES]

I love math xD

[WestyPS360]

does anyone know if this is in a level further maths

[neogeo328]

@WestyPS360 This is first year calculus. For my university class, we derived it after a few months of learning.

[ArkadeFyre]

@WestyPS360 It is in Edexcel FP3 to an extent :)

[xXSparky117Xx]

Thanks for the mind-job, as always.

[kenng329]

nice man

[Cheddahchad18]

subbed + buying app :)

[pabloMTv]

first view... oh my sweet jesus i think i died and went ot heaven

[patrickJMT]

@pabloMTv lol