Implicit Differentiation for Calculus - More Examples #2

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Implicit Differentiation for Calculus - More Examples #2

[@Kipah]

When just about every problem you get simplifies nicely by design, there's nothing like a messy solution to make you doubt yourself.

[@patrickjmt]

Kipah i probably should have cleaned up the complex fraction at the end

[@hardiktyagi1472]

Believe it or not but u are the best teacher I have ever seen . Amazing explanation and techniques. And thank u so much for these videos.

[@NoDeductions]

Appreciate the videos because I'm taking AP Calculus AB now and we're working on this stuff right now and I clearly understood it the way you worked them out then. Keep em coming

[@kaiyabou]

WHAT? Still searching youtube for math help?? Actually yes, i've learned more from youtube than actual class.

[@RawDoggin_78]

lol you are referring to that youtube ad right?

[@prodigion1]

that ad is pure disrespect towards the legendary youtube maths channels of 2008 that outclass that dumbass website any day

[@LildaddyFire151]

Your explanation is very thorough. Excellently explained

[@nathantonning]

Great example and a clear presentation. Nice work patrickJMT!

[@peterphucphan6042]

thank you. Really easy to understand. Thorough explanation. Now i can work on my homework.

[@jeffdawson2786]

Thanks, Patrick. Like your videos, especially differentiation.

[@willisilikefood9492]

You made a mistake when solving 3(xy)^2 *x
You were supposed to foil, but you just squared x and y individually.
It would be 3x^3+6x^2y+3y^2.

[@kirule77]

Thanks for the help! Love your videos!

[@patrickjmt]

Jon, is that you? I love the blues explosion

[@gayatrisharma6034]

I have some doubts can you recover it

[@gayatrisharma6034]

Sir U taught very easy method

[@lyricsbyfrancisco]

Can someone help me on how he solved for (xy)^3 to become3(xy)^2 [1•y + x•1 × dy/dx]

[@cristiangutierrez9345]

I think that (XY)^2 is x^2+2xy+y^2 and that times 3x is 3x^3+6x^2y+3xy^2.

[@Lucas-ns9hd]

It would be if it was a binomial like (x + y)(x + y). However, you can't foil two sets of one term. (xy) is one number, not a binomial.

[@UnderStanding_with_Javid]

@@Lucas-ns9hdOne term rather than 2 coming together through the act of addition :)

[@mohammadyousef6374]

"so now we have to tack on" in every vid

[@j.r0764]

i know this video is posted a long time ago, however i dont understand why in the second step it is 3x ^3 instead of 3x ^2. if anyone knows why ,that would help me alot. thxx

[@uggupuggu]

3(xy)^2*x
Dont forget the x at the end
3x^2*y^2*x
3x^3*y^2
Pay me with a big kiss on the lips

[@fikrinazri2517]

thank you master....>_

[@asmaalazmai3191]

thank u

[@heyitsolive4451]

what is lny?

[@ColdFuse96]

It's pronounced "Lin-Y" and its the Natural Logarithm of Y.
Whenever you see Ln in these derivative problems, just rewrite it as a fraction.
1 as the numerator, and whatever's inside Ln as the denominator.
Ln(x) = 1/x

[@ahmedalmedel4106]

Thanks teher

[@XXgamemaster]

Instead of writing (xy)^3, I'd just write this as (x^3)(y^3).

[@noahjensen7788]

I agree, it makes the process of implicit differentiation go quicker.

[@assmasher6929]

Nice!

[@naimmokhtar3382]

hero!

[@addmylifeto]

love you

[@musicstation1723]

I love u😍❤

[@luckyboy7875]

GOD FUCKING DAMMIT

[@dontquestionmyname5490]

One person didnt think the last answer is ok

[@enricomiguelcatolico4441]

Easy HAHAHA