Hyperbolic Functions - Derivatives

[@kentuckywoods]

It is a great feeling to be very confused when reviewing the section on your own, and then, after watching a half hour of your videos, understanding the section very well. You are doing a wonderful thing.

[@lifeatpaddyspub]

I love this video Patrick sounds legitimately exhausted he hates hyperbolic functions just as much as the rest of us haha

[@zauneebyama2494]

Damn true 😩😩

[@AnthonyGosal1452]

For those who are watching with annotations disabled: d/dx of sechx= -sechxtanhx, not -sechxcothx

[@ambuyaelimasuki7245]

Xx video

[@saritshull3909]

@@ambuyaelimasuki7245 I was wondering why it was different to the regular functions

[@saritshull3909]

@@ambuyaelimasuki7245 I was wondering why it was different to the regular functions

[@andresaries9267]

Pro trick: watch movies on Flixzone. I've been using them for watching all kinds of movies during the lockdown.

[@Theprofessional777]

You have gotten me through Pre-Calc and Calc 1. Thank you so very much. Hopefully I'll be seeing more as I do Calc 2 and 3 and diff eq.

[@IRWizrd]

the thumbnail for this video is nuts!

[@parkerd2154]

Isn't the derivative of sech(x) = -sech(x)tanh(x) ?

[@lanceraiku]

Yes it should be, small mistake there

[@Banom7a]

but he read it as sechx tanhx lol

[@thebluebeyond2329]

Thank You. I was busy panicking because of the new notations but I'm confident I will ace my exam.

[@patrickjmt]

@quareshmuah this is not cosine. it is hyperbolic cosine. (see the H)? it has nothing to do with cosine.

[@ICE-ld3tz]

Those who keep on complaining that "pat,you should have said/pronounced it as this instead of that like i do?, pat why didn't u just make it as blah blah blah?" Bruh you should've made your own video we all have different styles in solving.😒

[@patrickjmt]

@elizacal94 you are very welcome : )

[@patrickjmt]

@mypinkdollprincess glad you like them : )

[@patrickjmt]

@teejmd91 ahhh, yes, thank ya very much! it is fixed, finallY!

[@JayTekken1]

Thanks again, late night studying too, you really helped.

[@mrbehave02]

thanks for the video mate..because i have this bad habit of skipping classes that's why i have to self-study my self..tnx 4 this.made it easier..I guess since you're here just gonna skip my class again.. :P

[@BombDaBase1]

I thought product rule at the end is u(d/dx(v)) + v(d/dx(u)). Does it matter that you did it basically the opposite way?

[@dongballeabdulrazakabdulla7311]

absolutely the best video i have watched

[@economicsforall4397]

Good explanation

[@teefinyomouf]

have you ever heard of the terms sinch, cosh, and tanch instead of saying hyberbolic?

[@blablataproductions6219]

👉👉 Derivative of sechx is equal to -sechxcothx or -sechxtanhx???

[@zamanmackan97]

Nice and good clearly explained

[@KingMald]

My Calculus Professor: If you do not get any method or step that I explained, go to youtube and watch PatrickJMT. Me( with hands in air): YES!

[@mypinkdollprincess]

I'm having so much fun watching these vids. Thanks for helping me out!

[@03kingh]

That's weird. I'm London we pronounce it shine and coshine. Never made slot of sense but it's fun none the less xD.

[@saxbend]

Tetsukan also than, sesh, cosesh and coth

[@TheNumber2Pencil546]

can you do another one of these w/ more examples

[@shadowzabyss]

mistake.. d( sech(x) )/dx= -sech(x)tanh(x)

[@xdeadsilentx]

These vids seriously rock

[@iandeale218]

We should make this a drinking game, everytime he says hyperbolic we take a shot

[@teejmd91]

hey pat your note correcting d/dx sechx has an error, it should say "this should say tanhx, not cothx!!!"

[@ilikeponie]

why ddo you do this

[@MM-by6qq]

I say cosh & sinh with "sh" voice which is fantastic

[@tristanphipson]

together it sounds like caution xD

[@leonardlara1710]

is the derivative of cos=sin???? or it should be negative??

[@nallid7357]

d/dx(cos(x)) = -sin(x), yes.

[@FroisonControl]

cos(x) =/= cosh(x)

[@BombDaBase1]

States in the beginning that for hyperbolics, sin, cos and tan derivatives will remain positive. Only a slight difference from normal derivatives

[@gongasvf]

Did maths change or something? Isn't the derivative of tanhx = 1 - (tanhx)^2

[@nallid7357]

1-tanh^2x = sech^2x. This can be done using proofs. Math didn't change, it has always been the same, you're just using a different format to say sech^2x, which, in my opinion, is highly inefficient.

[@brendanmitchell8553]

Why dont you find the derivative of two to be zero in the first problem? I dont understand why.

[@AceofDlamonds]

In the very last problem....what's with the plus sign at 6:00?? I'm lost.

[@brightbIade]

V Ling Product Rule: f'(x)g(x)+f(x)g'(x)

[@AceofDlamonds]

ok thx

[@drahkas8526]

Why not write is as (simplifying a step at a time) = sinhx + sinhx * 1/coshx * 1/coshx = sinhx + sinhx/coshx * sechx = sinhx + tanhx * sechx

[@Thabang_Kgatla1]

Who is watching this in 2021?

[@BillyTheCaterpillar]

PLEASE PLEASE PLEASE HELP, FAST!! trying to find dy/dx for y= √(tanh^-1 2x) How do I do this?

[@MarkMcDaniel]

If you don't like saying hyperbolic so much, you can refer to them as sinch, cosh and tansh.

[@UrbanPlays]

lol why didnt you just factor out a 1/2 and use the sum of difference rule?

[@spaceshipastro]

how did u make it that easy?! huh

[@Quichey2]

You could say "sinch" or "cosinch" or "tanch" as I pronouce it, instead of hyperbolic (function)

[@SharmanePowell]

THANK YOUUUUUUUUUUUUUU

[@prakashankt7464]

thanku👌

[@ayuobarb1302]

thanxxxxxxx

[@jrendoso]

thank you !!!! =)

[@TheKaveshan]

Wonda why the thumbs down

[@ruger51995]

at 7:25 YOU JUST DELETED A SINHX . u factore it out but showed no evidence of the other sinhx. bad video

[@mcdarrylatacador2580]

@quareshmuah nooooooo! . d/dx cos is e^x-e^-x /2 = d/dx (e^x)/2 + d/dx (e^-x)/2 = e^x/2 - e^x/2 = sinhx

[@faithelias2798]

God loves you all

[@Hzily]

@calvinhobbesliker2 confuzzled me for a sech ;)

[@FLCL2010]

LOL how many times am i gonna say hyperbolic..TO MANY

[@gilbertknight1488]

am I the only 11 year old watching this?

[@gilbertknight1488]

well of course im a pedo- im 11

[@soniahaedar6096]

Now in 9/8/2018 i see this video 😅💙

[@alanl9497]

Just say HB instead of hyperbolic 😂