Derivatives of Inverse Trigonometric Functions

[@TheOrganicChemistryTutor]

Derivatives - Free Formula Sheet: bit.ly/4dThzf1 Final Exams and Video Playlists: www.video-tutor.net/ Next Video: kzbin.info/www/bejne/r5jCZWxtqpt9pKM

[@scalowelmvzzle5135]

Precise defenation of a limit 😢

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me

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[@anonymous-zf1qm]

"If you know the formula, life is easy" -The Organic Chemistry Tutor 2018

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I was gonna comment that haha

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Hi The Organic Chemistry Tutor! I had my calculus 1 during midyear, and I learned almost nothing. Symbolab and other internet calculators were the only reason I passed. But now in my second year, with your help, I was able to learn calculus in a more efficient way. Thank you. I hope I'll grow successful in the future to donate a portion of my earnings to your channel.

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Bro What are the other sources you use for the passing exams like youtube channels or websites ...

[@lyndseystrait1513]

Pause at the following timestamps to see the entire problems worked out 1:15 Sin inverse end of problem, 2:17 Cos Inverse end of problem, 3:49 Tan inverse start & 4:33 " end of problem, and 5:55 Secant Inverse end of problem.

[@Spirit4315]

You make it more understandable than other videos

[@faisalmohamed4595]

0:18 life is easy only with you my boy

[@HarshitMorya-y2o]

nice haha

[@huffpuff6336]

I like how I wasn't the only who had some sort of internal connection when he said, "If you know the formula, life is easy."

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another fantastic video/lecture on the Derivative of Inverse Trigonometric Functions in Calculus. There are multiple ways to take the derivative of Inverse Trigonometric Functions. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@maxgeorge1463]

Wow. That is so true

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I love to practice math on your videos,and still wonder why the channel called organic chemistry 😂

[@hologaster]

This guy single handly saved me a lot of headache from calculus.

[@JustBaileey]

I was told something along the lines of differentiating the original function as normal and then dividing by 1, using the sin^2(x)+cos^2(x)=1 identity, to substitute for the trig function. This formula makes so much more sense!!

[@berniemaesebalda1555]

my textbook and professor teach us the hardest way of doing this, thank you so much

[@Sir_oleks]

Yes! If you know the formula, life is easy 😊💙

[@makennarain4192]

thank you for saving my grade

[@poshfluxbeats9722]

Nice video on making us understand this concept of trigonometry.. thanks😊👍

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if you could see how I'm smiling because I finally understand this topic. You are really Einstens child. Thank you!

[@manishapahari7097]

the explanation is concise, easy to understand. thanks for the video.

[@anonymous-zf1qm]

This just sums up the 1 hour lecture of my prof lol

[@centroidengineering]

Bro I never followed this system in inverse calc. This is very very easier than replacement method

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This guys gonna help me pass calculus

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bro teaches so much better than my prof

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[@Joppe253]

I'm confused, you say the derivative of Sin-1 (u) = u'/(sqrt1-u^2), but everywhere else I look it says 1/(sqrt1-u^2). Now that I think of it, is it because most "general rule" explanations talk about Sin-1 (x) and the derivative of x is just 1? Seems like a pretty big oversight not to mention that the 1 value changes if there's more than just x

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Great Video, super helpful.

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[@enma4010]

You are a life saver

[@cat4890]

In my textbook it is 1/1-u² then multiply u¹

[@stariesilver6327]

saved my life thx

[@Pistachi]

you're the real OG

[@AJ-et3vf]

Great video. Thank you

[@WTFLegacys]

at 4:14 when you multiply the top and bottom by sqrt x. Why does the sqrt x not also apply to (1+x)? You only multiply it by a portion of the denominator?

[@sabeehamalikah9322]

since the 2 terms in the denominator are not being added or subtracted, distributive property does not apply here. instead all the 3 terms are being multiplied: (1+x)(2√x)(√x) so you can multiply any 2 together first and then multiply that answer by the other term. hope that made sense :)

[@chanteinge9027]

This safed my sanity

[@hooton11]

Hoping to improve my math skill any advice from you?

[@edwardduda4222]

Do a million practice problems but don't trust the answer key, use www.integral-calculator.com/ and www.derivative-calculator.net/ to check your answers because sometimes they're wrong if they're in a textbook. Plus they show steps.

[@michaels333]

Hey! Great video! Why did you put about the absolute values on the X and the secant example? I do not think they are necessary, in fact, it would be wrong to add them back- thoughts?

[@jdstar]

The absolute value signs are there, since the domain of some inverse trig functions have a restricted domain and range, where they have to be positive; hence the absolute values.

[@voodooblue6162]

Do I need to know where they came from or am I better off memorizing the formulas?

[@asghvasaskhdn2477]

is there no formula for cot inverse and cosec inverse?

[@tanchholimbu9846]

That's what I'm asking

[@xia9630]

There is

[@GustavLiam05]

@@xia9630 what are they?

[@0mar1948]

I'm subscribing

[@iambasilah]

good eve, i've noticed in question number 2, should it be -5/ 1+(5x-9)²? I've searched it on google and the derivative formula for arccot doesn't have square root sign on it. Hoping to make things clear 😅

[@arslanahmad5500]

you able me to solve question thanks

[@jordanharrison3995]

I love this man

[@vaderanomaly1573]

Ok why is that im told to put 1 instead of u^1 on the denominator? Thats what we do in class.

[@mutaeb197]

Same here

[@lyebeezy]

numerator but yea

[@jacknguyen374]

Your multiplying 1/sqrt(1-x^2) by the derivative of x. The derivative of x is just 1 so that's why it shows just a 1 in the numerator. In the video, he put x prime in the numerator because 1/(sqrt(1-x^2) * d/dx(x) is x'/sqrt(1-x^2)

[@xia9630]

Same question

[@mohammadelayyan6887]

If I pass im definitely donating

[@OneBallRyan]

But why are those the formulas for inverse sin, cos and tan? I know they can be derived from right triangle trig but I am unsure as to how

[@bemshii28]

I'm confused. Help me😅. In our lesson, the derivative of arcsinu is (1/√1-u^2) • d/dx(u). Even if the u=3x, the numerator remains 1 at the top,like help me understand😅.

[@itsmeuno1817]

it is still actually the same because you will still multiply the d/dx(u) to the numerator of the formula, he just made it into u^1 just to be quick

[@bemshii28]

@@itsmeuno1817 gotcha,thanks!💖

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I would recommend every one come here

[@justcallmemink5585]

Would the answer be to the first one be 3x^2/square root (1-x^6)?

[@ElifArslan-l9g]

thank you

[@zoejoyluma-as8367]

why it doesn't have square root 3:36

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you are best

[@bobaprakash8905]

But according to LIATE rule. Exponent has last preference.

[@Sarah._.s889]

Thank you so much ❤

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ur the best

[@quadirbaniameen7786]

Isnt the formula for the arc si of x is 1/sqr rt of 1-x squared..?

[@aakashodh118]

If You KNOW the FORMULA; LIFE is EASY! 👍🏻🔥🔥

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If u kniw the formula life is easy☺️

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Awesomeness 👍👍😃

[@stevensub8084]

How can I find the derivative of h(t) =sin ( arccos(t) ) ?

[@armstrongtixid6873]

Chain Rule

[@usctrojanfreak]

@@armstrongtixid6873

[@NicKenMic]

I LOVE YOUUUUUUU

[@teekay3747]

I gotta memorise all these formulas😭

[@Sarah._.s889]

Can you do one for cosec and cot please 🙏

[@_kkikkii._]

X^(4)^2 is 8?? I thought it had be 16?? Time @ 5:47

[@yonelamndaweni2837]

How do I solve cosec^_1(secx^3)

[@matthewkoob7600]

What a god.

[@ЕвгенияЛысенко-у4н]

Strange.. My book says that D f^-1 (y ) = 1/ (D (f(x))).. Did I miss smth ?😳🙄

[@mizlolia]

Step 1, know the formula☺

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what a goat bro

[@fatcammal]

ur a god

[@samiulislamdurjoy]

G 160 0:01

[@marcelinafrancisco9936]

Hi, I just have a question in 4:36 can the answer be the square root of x / 2x+2x^2

[@wick3343]

Yes, they're the same thing. You just multiplied 2x with the (1+x). So it doesn't make any difference and is 100% correct.

[@scitwi9164]

00:27 And this is because? :q

[@vassphire8522]

Math...

[@allanispersaud7149]

If you differentiated with the chain rule that's the format you'd get your answer in. Someone noticed the pattern and formulated the formulas

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Man I nedd you to be my teacher

[@ZaribRazvi]

thank you bbg

[@atageldievdaniyar9631]

MATE, I FUCKING LOVE YOU!

[@simplyydee]

what about cot and csc?

[@itsmeuno1817]

cot is u^1/1+u^2 and for csc is -1/u rad u^2-1

[@thomasplatt7329]

i know the formula, but life ain't easy. RIP

[@samayadvani9259]

GOATTTTT!!!!!

[@wolfgangpauli4489]

It is better to write arcsin, arccos, arctan, and so on. That is the way it is done in all non-English speaking countries. Using this aforementioned notation is completely unambiguous.

[@chrollolucilfer7694]

Bro it dont matter that much people will realize they can just write as you said and it’s the same thing😭

[@Proximadelta_and_ScampiLion]

kahn academy is getting this wrong idk what to do

[@Kervvy]

bro my final exam is in 5 hours 💀

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So its log type of shit cool