Using Implicit Differentiation to find a Second Derivative

[AngusTaoHuang]

You are very patient, I love all your video in which you shared with. :)

[xxo0O77]

thank you so much! my calc hw is getting done right now because of you! :)

[villex4]

I dont get it!!! is y prime equal to dy/dx or dx/dy?

[patrickJMT]

@villex4 y ' = dy/dx

[lilgrizz151]

thanks man! now i'm ready to rock my BC Calculus exam tomorrow!

[RParamoL]

wow. i really like that last substitution. i was NOT taught that. well. to be honest. im not really getting taught much. :p dude. you're amazing.

[PreVague]

Yo, that plugging in 9 for the y(sq) + 9x(sq)...GENIUS!!! I would not have thought of that in a million years...

[lilbluehersheykiss]

that was beautiful. 

[iheartyou2314]

Thank you!!!

[emekaukaga]

Thanks so much dude, you cleared a lot of things up for me. :)

[Luis306449]

Thank You sooooo much! :)

[crazyrandom3]

Woah. The substitution at the end?? My teacher didn't teach that... That's so interesting! I never even thought to simplify it that way! Thanks! You helped a lot!

[lol798]

I did the exact process except I forgot to substitute for the d/dx :p

[csiebler]

Thank you! Figured out the problem once you showed how you insert the first derivative for (dy/dx). Makes so much sense I feel silly for not recognizing it without watching this video!

[desitennis4]

you saved me on my IB calculus test thank you!

[jpmoench21]

dude!!! you are the man! thanks

[RayMangahasTV]

THANK YOU U!!!

[VcTrN]

You've taught me more in one video than what my teacher did in three weeks. -,-

Thanks. :D

[mickifree12]

you sir... are a genius, I knew the answer was -81/y^3, but i just didn't know how to go from -9(y^2+9x^2)/y^3, until you pointed out that it was equal to 9 =p

[mickifree12]

... THAT'S THE PROBLEM I WAS DOING!!!

[crystalshredder]

Thank you! I'm writing a calculus exam tomorrow and this helped a bunch! I was sitting confused for a whole hour before I found your video. Thanks so much.

[JKwingfan]

1 person is a third derivative!

Also, thanks, Patrick :)

[jbmunnoch]

This video may have just saved my behind, thank you very much. I was contemplating changing majors due to the complexity of the calculus but I might be able to struggle through it with enough of these videos. Thanks again!

[Vikki1331]

I have no idea what I'd do without your videos. Hail Patrick!!

[mustafamufasa]

how were you able to substitute 9 for (y^2+9x^2)

[Vikki1331]

@mustafamufasa He did that because when he found the first derivative, he basically found what dy/dx was equal to. Let's say this question went even further and asked for the third derivative, then you'd be able to sub what d^2 y/ dx^2 equalled too. I hope that helped a little!

[mustafamufasa]

@Vikki1331 it actually sounds more confusing the way you state it. looking back i see that the 9*(9x^2 +y^2) looks the same as the starting equation which was equal to 9. so i'm assuming he was able to substitute in right?

[azn4life23]

i never knew you could get so popular by doing math...

[eccaprata23]

thank youuuuuu

[setboy1]

Thank you. My teacher didn't show us how to substitute in like that. I had been pulling my hair out trying to figure out how to do this very problem from my book and getting no where and then i came here and found you doing the same problem!!!

[StuPip]

@setboy1 It's unfortunate that we have to pay so much money for textbooks that just don't seem to help in situations like this. Thank you very much, PatrickJMT for clearing this up.

[dwnwng]

wow o.o keep working your math magic.

[DKRaFiQ]

why must the derivative of "y" be dy/dx??

[xshingie]

*high fives fellow left-hander*

You rule! I love how simply/clearly you explain this.

My teacher talks at hyperspeed and her processes have gaps in them...

Anyway, thank you SO much!

[imnotgovernorwatts]

you are calculus god uve helped me now in high school calculus and university level calculus thank you

[MeanHacker]

1 person missed the "like" button.

thanks a lot!!!

[purplepick1]

THANK YOU!!

[tomczyce]

LMAO this is the exact question that I'm stuck on...hahaha

[tomczyce]

LMAO this is the exact question that I'm stuck on...hahaha

[sebaxh22]

Great video, you explain this way better than my professor.

Thanks again, Cheers!

[one0xin]

2 weeks of this in class...i did not understand a thing and 6 minutes of ur examples....i finally get it!! thank you so much!

[LylesgoldMusic]

Very nice,

But ive been taught to use the product rule with a negative power rather than the quotient rule, and i really do find that a lot easier and much more beautiful, since its a general rule.

I Have a problem here were dy/dx = (e^x * e^y - 2x) / (2y-e^x * e^y) ...which i right, i checked the answers, and i have to find d²y/dx²...

That is a HORRIBLE product/quotient rule to do, is there no other way?

[amieXpsycho]

Halfway through the video I thought, "OH HEY, he's left handed!" D:

Andddd

i realized what I've been doing wrong in class.

Thank you so much for this.

Now, I can go pass my test tomorrow! :D

[webdesign000]

extraordinarily helpful. Thank you. Also, you have veryy neat handwriting for a lefty =D

[moony9327]

could you derive " xsiny=ycosx " for the second derivative using implicit differentiation???

[akbarthegreat03]

thanks man...i get it now, i got a test on these today lol

[bklynbadboys2]

nice video. Thanks!

[bigdawgtt]

Dude no way! This is the EXACT problem I was having trouble with on my assignment!

Thank you!

[BRSquared]

Can you show me how to Implicitly Differentiate right handed?

[NaughtyKookie]

Hey! You're left handed. Me too.

Thanks for the video, helped a lot.

[Balkance]

Thank you sir.. might I add that that the fart on 2:03 was quite the touch... ;).. jk.. thank you so much

[patrickJMT]

@Balkance ha - just me being breathy into the mic

[Balkance]

I'm kidding... thank you.. there was at least 2 of these on the final today

[lozoft9]

our teacher leaves us to our devices when giving us certain problems.

[MsStarwanderer]

Thanks for the help!

[Connroy17]

Thank you! my math teacher cant teach for shit, i just watch ur videos and now i have an A in AP Calc

[stealinglemons]

5:16 i came a little bit

[nrashu]

Thank you so much! I wish you were my teacher! D':

[Xaverriah]

My math teacher didn't teach me this, so thanks so much for this tutorial!

[patpatpaterina]

OH MY GOSH.

thank you sooo much.

my math teacher didn't really help me, but you did. YAY :D

[sonydude008]

THANK YOU SOOOO MUCH! I was struggling with these types of problems until i saw this video. My teacher always tells the class that its not the calculus that we have trouble with, but the algebra. LOL

[asdlgvfrbadkhjaseygf]

thanks sooo much u helped me a lot

[CominUpShort01]

LMAO, i was just doing my calculus homework and saw this exact question in the book (after watching this video) and I thought i just had to post.

Thank you so much for all of your videos! It definitely helped me study for my first midterm!

[Elusefelier]

You, sir, deserve my thanks. These lessons are extremely clear and have helped me a ton. THANK YOU.

[darthmarth28]

oh thank god I found this.

You and Google just saved my Calculus grade a few percents. You have my undying gratitude.

[BeMyFirst]

efing savior! thanks man. gotta ace that quiz tomorrow

[Gabrieltan77]

You are so cool...

[jwsg90]

cheers brother well explained

[Nile49]

You rule! Thanks a ton!

[mcadillac22]

thank you so much. i wish you were my calculus teacher.

[Miodoll]

wow, you rock.

[patrickJMT]

boo ya

[mssweetychessgir]

O.M.G thank you for this video T.T

[patrickJMT]

i *heart* chess

[Syruscleat]

Great presentation. The substitution is a bit mind-blowing.

[rockcandy2116]

lol I love this

youtube math tutoring is a clever idea XD

[patrickJMT]

i hope it helps! : )

[mrdkoalas8]

@rockcandy2116

dude i totally agree with u

[bratiprinc3ss07]

OMG Thank you! I also have a test tomorrow and I was soo lost on the 2nd derivative!! I fully understand now!

[1wisegrasshopper]

Thank you, thank you, thank you. I have a huge test tomrrow and I finally understand this!

[patrickJMT]

happy to help!

[DarthZob]

Thank you!