Implicit Differentiation
ฝัง
- เผยแพร่เมื่อ 28 ก.ย. 2024
- We are pretty good at taking derivatives now, but we usually take derivatives of functions that are in terms of a single variable. What if we have x's and y's in there? We need a new technique! It's called implicit differentiation, and it goes like this.
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Multiple days of class and it just wasn't clicking. And it takes one 10 minute video to cement it. Holy hell.
Who needs school when big dog Dave is on the job haha
New response just dropped
Thank you so much, who knew you could learn more from an 11 minute TH-cam video than a 45 minute lecture
Pretty Much
Yeah you can learn from an 11 minute video. Although keep in mind, you can also pause the video and re-watch parts that did not make sense the first time around. Also the videos are tailored in the fashion where he's teaching to you directly in front of you. In lecture, you may be sitting far from the professor making it difficult to hear and see. Also, here in the video he just goes over the steps. Sure, there are moments where he explains why some things are the way they are which is helpful but not in the same sense as in the lecture. Lectures from math professors cover more than how to do problems. They cover the reasons why more in depth. I"m sure if student went to their professor's office hours and asked how to do the certain problems, they would similar results to watching this video. Sorry if I appeared to be attacking you. I didn't mean this directly at you and I get the feeling you were just saying it general.
Dude same
Thnk you Sir, after getting this video; this time, I am able to do exercise my self. Love U from PakistaN
You guys have lectures?
I hate to admit it but the color coding the breaking down each step made this crystal clear.
Here, have an thumbs up
I hate to admit but red reminds me of period blood
Why would u hate to admit that?
Why would u hate to admit that
@@E_Rico
He probably thinks it would make him seem simpler-minded, possibly not knowing that's how many people study.
@@frostbitepokin9520
Hate to admit it, but that reminds me of period bacon.
I'm here because my teacher can't teach
Same here bro 😭
This stuff is too hard
Than that is not a teacher
Me too
same
I'm currently taking Calculus 1 from home without any video lessons or instructions from my professor because of the current pandemic. This video has gotten me a perfect score on my assignment that is due in 2 days. I understood it well enough to even take it to its second derivative, and that's from a single 12 minute video. I'm excited to go back and work through the proofs for this for a few days once I finish my exam!
Got a calc test tomorrow and this is saving my ass. Thanks dude.
Man calc gives me goosebumps
How did it go
You someone give this guy a Nobel prize. I could listen to a lecture all day, come home and learn 5 times as much watching a small video. thank you Professor Dave, Keep up the fantastic work
I've taken cal like 2 times now. This is the one video that made implicit differentiation understandable.
holy cow i literally cannot thank you enough. Didn't take me until watching this that i understood and just got a perfect score over the quiz I took today on this concept. You explain it literally perfectly. Thank you 😭
We are doing partial derivatives in Calc 3 and had to do implicit differentiation as well. This definitely helped refresh my memory, thank you.
I'm going to a 100-item calculus exam tomorrow guys pray 4me💪❤
how did it went
@@violethill4454 I got a passing score!! (65/100, passing is 60)
@@violethill4454 I passed! (barely)
@@violethill4454i think he died
Professor should have just shown this video in class. Thanks. I haven't understood this at all until watching the video.
This is the only tutorial video I'd really appreciate.. Now I understand the implicit differentiation very well.
You explains best..we like it great explanation...
Yup
Thank you for the awesome explanation,it helped clear my doubts substantially.If you ever read this,I have a few suggestions-
1.Could you try bringing more complex problems in your lectures,as they seem very basic to me rn.
2.I think there is a mistake in the 2nd answer at 11:00 ,the correct answer should be (5y-2x)/(6y-5x)
Other than that,the lecture was awesome,and you truly deserve my sub.Looking forward to clear more doubts through this channel!
With love from India.
For 2. Multiply both numerator and denominator by -1 answer will be same
@@Adityagarg0 oh yeah,mb
Thank you man! I have understood much better than from my analysis teacher from Universitatea Politehnica Bucuresti, Romania! :)
For business students, your lecture ends at 8:44
Gah you lucky business majors!!!
I am a 9th grader with a great interest on quantum physics and general mathematics. Your explanations are really great and user friendly that, with your lectures anyone can understand anything. I also greatly admire your vids on quantum’s and modern physics. Please continue these works with more interesting concepts. All the best.
@@Safwan.Hossain you can teach a 6 year old to do calculus. however, they don't know what it means
where are you now?
This explained it SO much better than my textbook, thank you!
Professor Dave once again saves my ass just in time for my test
This video is explicit, 5 years ago,yet it is still building strong minds.
Well done Prof. Dave❤
I've seen a dozen videos on implicit differentiation. This is the best.
11:00 i find a different result for the second questionn. I'm differenciating myself right now. Anyway, thanks a lot it helped me so much even though i studie math in french at scool.
Hi, I got 5y-2x for the numerator.
Ok this video was actually incredible you allowed me a 10th grade algebra 2 student with some basic knowledge of derivatives actually understand implicit differentiation.
Thank you. Although this video did not explain everything I needed- you provided enough detail for me to easily solve for (dy/dx)y which helped me understand where y' comes from. Honestly I think that notation is extremely confusing when mixed with dy/dx. Anyways, I appreciate you. Good luck to everyone else taking calculus currently.
im gonna subscribe because this channel will be my survivor for college
Hey Dave,
I was kinda struggling wrapping my noodle around this one, but you explained it really well. Kudos!
Going to have the ib finals 2 days later, huge thanks to professor dave for saving my maths
What is ib
was looking for a professor dave video to put on in the background while doing calc homework, and as it turns out, professor dave can actually help me with my homework XD
Professor dave, you're a legend
and for extra fun, implicit differentiation of y=arcsin(x) produces the time dilation formula of special relativity if x= v/c
You make the best videos! For the 2nd problem at the end (11:00), I got 5y - 2x for the numerator.
Same! I got (5y-2x)/(6y-5x)
@@teddyplanet same, can someone explain
@@guidopierdomenico5108 If you multiply both numerator and denominator by -1, you will get the same answer in the video
You taught me more in 11 mins than my teacher did in two 1.5hr class
Thank you soooo much for making this video!! Class lecture and other TH-cam videos did not make sense to me but now I finally get it I could cry lol
You made it so easy... Thanks a lot
Thanks for your clear and short explanation! Appreciate for it!
Thanks i just needed this
The eqn x²+y²=9 can't be expressed as a function as we isolate y we get two different output for an input.
Tbh. This video is much more better than my professor's discussion. Lol.
wow this was really good, thank you
Thank you very much professor dave.😁
thank you so much!!! this video was amazing and i feel so much better about implicit differentiation! you are the best!!!! :)
ty you've explained it much better than my lecturer
Thanks for a such a trick ... I m ready for give a exam tomorrow
Finally able to understand this... Thank you so much, clear and so helpful.
Hi Sir. Thank you so much.🤗🤗. please make vedios on abstract algebra. please... please... please...🙏🙏🙏🙏
Such a perfect method of teaching. Good job
You just helped me to understand this way better. Thank you.
I tried to solve with you as you were teaching and TBH I undustood completely. Thank you Jesus (Dave sir) for teaching
I managed to understand implicit differentiation in only 11 minutes but
I spent an hour an half in my lecture hall and i didn't even understand a thing.
Let F(x,y)=x^2+y^2-9. Then, dy/dx=-F_x/F_y=-2x/2y=-x/y. Here F_x is the partial derivative of F with respect to x.
F(x,y)=x^3+x^2y+4y^2-6. dy/dx=-f_x/F_y=-(3x^2+2xy)/(x^2+8y)=[-x(3x+2y)]/(x^2+8y)
would be nice if they implemented LaTeX to the comments section
this is just an application of the multivariate chain rule
This is definitely an easier way to differentiate that function! Its multivariable calculus but its not hard, a partial derivative is just treating the other variable like a constant.
Interested topic for me rather than rest
thank you for your explanations
Really great video!!!! Thank you so much for the help. Definitely recommend this to anyone who wishes to understand this topic.
So helpful to understand and interesting to know
Thanks prof.
God bless you, you're saving lives, king!
I finally got it! Thank you so much you know how to explain best
thank you. from the bottom of my heart
Very simply explain. Thank you sir
Thanks a lot sir...LOVE FROM INDIA🇮🇳🇮🇳🇮🇳🇮🇳🤗🥰
Really good and simple explanation! Thank you :)
You just saved my life, thanks a lot
So clear explanation.
I think the second equation in checking comprehension should actually be y' = (5y - 2x) / (6y - 5x)
Yeah that's the answer. I was confused at first why my answer didn't match his.
🎉
I have a midterm tomorrow and this literally taught me almost everything I need
Thanks! Understood it well.
Exam 3 months later idiot me STUDYING rn 💀
Thank you Professor Dave👍
Nicely done! Great explanation!
When begin discussing x^2 +y^2=4 and you solve for y, you forgot that it should be y = + or -
Its 12.48 am and i gladly to found this video which is help me for math quiz tomorrow
Regarding the first example of the equation of the circle , when you isolated y^2 why didn't you take the positive and negative when you took the square root for both sides?
thanks
Nice explanation Sir
This guy is the GOAT fr
thank you professor dave, god bless
In the 3rd comprehension question why does the cos(xy) disappear?
just divide both sides by that term, zero divided by anything is zero so it goes away!
@@ProfessorDaveExplains Haha, never realised it was that simple, oops! Thanks for your videos btw, I would definitely be failing exams without you lol
Thanks Professor Dave for your great explanations
I have seen another way to find the slope m
m = -partial derivative with respect to x / partial derivative with respect to y
Could you please advise me if this method is correct
it is
This vedio helped me alot thankyou so much
I keep getting
y' = ( -2x - 5y ) / ( -5x + 6y )
I tried other ways, but I end up getting
y' = ( -2x + 5y ) / ( -5x + 6y )
instead of
y' = ( 2x - 5y ) / ( 5x - 6y )
Thank you professor dave.
bro istg the first 4 minutes taught me shit more clearly than my teacher did in an hour
I love you so much you have no idea
This all makes sense. But can you really treat y as a function of x? Except of 2 values of x, x has 2 corresponding y value, which doesn't sound like a function.
thanks so much prof for sharing your intelligence with us
why is y assumed to a function of x?
Thank you for this video!
Thanks dude. That really helps
so if y^2 is a function of x, as it's assumed, what is x a function of x?
Thanks a lot dave!
B..but x²+y²=9 is not a function it doesnt pass horizontal line test ,right?
Thank you so much.
Luv u Professor....Kicked the ass of my confusion....keep it up and burn u tube down 🔥🔥🔥🔥🔥🔥🔥
better than a lecture!
There's a mistake in the video. In the recap section, there is a sign error in the answer to the third question.
No error, they're all correct.
@@ProfessorDaveExplains I'll try it again!
quick question, would'nt it be logical to say that d/dx ( x^2 + y^2) = 0 will give us: (2x) . dx/dx + 2y . dy/dx = 0? I know that dy/dx is not a FRACTION. if not, then why not? Please ans!
Bhau jamla re,
Lai bhari, lecture toast-khari
You saved my life thnks for video
I love you man... Thank you. Thank you so much.
He is sir not a mam....😂😂
Thank you very very much 😊
So helpful thanks