Calculus - Find the derivative of inverse trigonometric functions

[@aidanshea3128]

thank you man we just briefly went over this today in class and this video helped me understand it better

[@elliot20201]

Thank you so much! Great explanation, simply and well said. My calc prof skips steps and expects us to make the jumps along with him, then says it's our fault if we didn't follow along... Very frustrating, but now I'm more confident for our exam! :)

[@dumbxyz]

Really helpful playlist on Calculus -- I've noted all down and will use it in my class now! Thanks...!!

[@DB-jv7vi]

Thankyou my Professor moves so fast I could keep up but i understand now

[@adeelali8417]

Perfect video. No time wasted and exactly what you need.

[@ramazanaktas3699]

A great tip comes, get ready. The key to memorize them is using repeatedly. Just write random functions and derive them with your cheat sheet. After a short while, you will have memorized them. Just do it prior to your exam. Btw, these are great to understand trig sub. Trig subs are making you to integrate a derivative you know. Of course, if you know these ones. I'm a freshman in college and find calculus fascinating, so in harmony with nature and this is the very reason why i hate linear algebra, leaves a bitter taste in my mouth. Great video, enjoy this good stuff folks.

[@methamphetamememcmeth3422]

Well, actually, the key to memorize them is to derive them.

[@dannybierer6469]

I learned more from this than the entire semester with my prof

[@glennrickelton4093]

Just like your video on the chain rule - excellent!

[@beaudjangles]

Great work on your videos. I really appreciate it.

[@ddahstan6876]

Very clear. Thank you, sir!

[@naza8982]

This is really good and it helps me a lot omg i wish i found your channel earlier

[@sathvikmalgikar2842]

great video thank you for this wonderful tutorial brilliant one.

[@thampukhangrai9]

Thank you sir.. Uploaded just 8 days ago but its just in time for my exams. keep the video coming cuz i might need you in the next semester too :)

[@kamoheloelliot5592]

Thank you what a better way to explain it

[@glennrickelton4093]

Very helpful explanations with easy to follow steps

[@احمدانور-ب1ع]

Excellent ❤

[@deshatgaming2448]

very well explained👍

[@possumbly8045]

thank you so much for helping me! this is such a huge help!

[@hiimalexa]

Thank you! Very helpful.

[@MySecretMathTutor]

No problem. Glad I could help. :^D

[@reazkhan3754]

Thank you

[@jammjamm2]

Thanks!

[@thulanilugisani1750]

thanx for the lesson

[@tsitsibasera8573]

Thank you so much ...u r really a life saver...we never did it in class but now doing past exam papers ..now come across them ...ummm I don't know how to thank you ..but thank you so much....

[@MySecretMathTutor]

Happy to help. :^D

[@shubhendukatiyar1683]

i never wanted it to end wished that u kept questioning and i kept answering before u could solve :)

[@MySecretMathTutor]

If you have any more questions, just send them my way. They sometimes turn into new videos. :^D

[@shubhendukatiyar1683]

@@MySecretMathTutor I am a really bright student.... And have great ambitions and real will to contribute something to pure sciences. But, lately since the last few years the society has been really mean to me

[@MySecretMathTutor]

Society can be rough. It will take a lot of hard work, but you can do it. Hang in there. :^D

[@darksituation71]

Very neat!

[@suzannasaghatelyan1288]

Thank you 😓

[@amirosman6342]

Very very nice thank you

[@corbenwong5536]

Wait for the problem at 6:00, why didn’t he find the derivative of square root 1-x^2

[@MultimodAll]

Because he's plugging in the formula for arcsin which has already been derived, so there's no need for the chain rule.

[@tofiqeabedela8577]

thanks sir its helpful

[@wesamsamir1058]

Thanks alot sir💪✌

[@niteshsingh4336]

Sir your speech seen on screen create problem in question solution so u crroection in this style I hope you understand my problem and your trick is very useful for us

[@ElifArslan-l9g]

thanks

[@naiman443]

Wow.. Love it

[@MzwandileHarmans]

In the last problem, is it not important to highlight that the e^2 outside the radical in the denominator is actually an absolute value so that in case it is negative value it remains positive

[@xrisku]

this is what I am after. derivatives with negative exponents, radicals in the denominator etc. i would like to see them more simplified though.

[@jjm615]

I love it

[@miguelconfesor4701]

thank you sir! God may bless you:)

[@nanaa5739]

9:39 e2x ?? Why not? 2ex😓

[@MySecretMathTutor]

Remember that the 2 is in the power so we will multiply it by the x that is also in the power. This will give us e^(2x)

[@jonasadrielreyes8790]

why didn't you use the multiplication method on the first example? thanks!

[@MySecretMathTutor]

Not sure what you mean by the multiplication method.

[@jonasadrielreyes8790]

@@MySecretMathTutor yeah my bad ignore this comment bro!!! Thanks for the great vid! I wa sjust confused hehe

[@xangelo1382]

Ty

[@kishor_d5702]

Bro for which kind of inverse trigonometric functions sums roots will come and where roots will not come,I got confused by referring sums so please clear my doubt

[@AK47_414]

For arcsec derivative and arccsc derivatives, im pretty saure you need absolute value x in the x in the denominator...

[@keshavsolia7812]

Good

[@MyMathsAdventure]

Thank you for this video. I’m just starting this topic now 👍🏼

[@ryanowens6057]

pretty sure its supposed to be |x| multiplying sort(x^2 - 1)

[@rutik1808]

Y equal to sec(tan inverse of x)find dy by dx.sir will u please solve for me

[@amithkollath]

In the last question, we should use product method isn't it? Can someone explain me please just the last question I didn't get.

[@xrisku]

Amit Kollath. no. chain rule. e^x is imbedded in the csc. notice, it is not e^x csc x (product rule); but rather it is csc e^x. therefore, e^x is inside the csc function, hence chain rule.

[@BrainGainzOfficial]

Memorizing rules 😩

[@mitchgovender6514]

maybe draw graph to illustrate it better

[@justabunga1]

Shouldn’t the derivatives of arcsec(x) and arccsc(x) be 1/(abs(x)sqrt(x^2-1)) and -1/(abs(x)sqrt(x^2-1)) respectively? abs stands for absolute value and sqrt stands for square root.

[@MySecretMathTutor]

This actually depends a little bit on the restrictions for these functions. This is why you want to check what math book you are using so you can stay consistent. Some will list out the absolute values, and some will not. Let me know if that helps out. :^D

[@justabunga1]

MySecretMathTutor there is an absolute for derivatives of both functions because it came from the inverse trig. identities. arcsec(x)=arccos(1/x) and arccsc(x)=arcsin(1/x). When you differentiate both functions using these identities, you would use the chain rule. The derivative for arcsin(1/x) would come out as 1/sqrt(1-1/x^2)*(-1/x^2). If you multiply both the top and bottom out inside the square root using the LCD and then factor out sort x^2, it would come out as -1/(sqrt(x^2)sqrt(x^2-1)). Therefore, the answer is -1/(abs(x)sqrt(x^2-1)). For arcsec(x), the chain rule is the same method except it would change the sign, Another way is that arccsc(x)=pi/2-arcsec(x). The derivative can be done quickly in seconds as that answer.

[@MySecretMathTutor]

@@justabunga1 Hi Justin, check out this article on Math Dorctors.org. I think this will help you see what's going on why there is confusion over that pesky absolute value. www.themathdoctors.org/ranges-of-inverse-trig-functions/

[@GudduKumar-xc5ql]

No.4 question nhi smjhe

[@017_ihsan_muhammadihsanami3]

mr Mo?

[@MySecretMathTutor]

Mo? Nope, not me. :^D

[@sarasiddh1366]

These questions are easy plz take difficult questions . Questions in my textbook are much more harder than these and I am not able to find solution for those questions . Why Everyone is taking easy questions

[@niteshsingh4336]

Plzz correction