College is very quickly turning into a place that tells me what I need to learn as opposed to actually teaching it to me. These videos are life savers.

@kristakingmath

3 жыл бұрын

I'm so glad I've been able to help! :)

@443810

2 жыл бұрын

That is a point of college.

what is this sorcery ? I understood every word

Simply perfect, your maths, pronunciation, video quality, audio quality. Everything is perfect. Thanks a million!

@kristakingmath

8 жыл бұрын

+Omar Alshaker You're welcome, I'm glad you liked it!

I told my professor to watch Krista.

@khalilfarahvlogs3941

6 жыл бұрын

MIMBUBA she is smart

@rubabzehra3146

4 жыл бұрын

I did that too 🤣

@jasan_roy

3 жыл бұрын

😂😂😂

@Hema_vlog7

3 жыл бұрын

😅😅😅

@learnwhileathomewithharkir3072

3 жыл бұрын

Hahahaha👍👍👍

You are the reason thousands of students pass calculus I,II,III. Thanks.

You just explained such a complicated thing so simply!!! I wish all professors could explain like this. Life could be so easy!!

This question is straight out of my textbook! I was stuck on the last part and this video helped so much :D

I just want to say thank you teacher. I followed every videos of yours in partial derivatives. I gave my college few days back. it's all thanks to you that I performed so well.

@kristakingmath

6 жыл бұрын

I'm so happy I was able to help!

Wooooow years trying to find someone so straight to the point!! Amazing thanks million!!!!!!

You're the real MVP! Thanks

My whole class in 10 minutes! Thank you from Thailand 🙏🙏

you're better than most professors on my uni. thanks a lot for this!

OH MY GODNESS THANK GOD KRISTA KING IS HERE !!! i'm french and even though you speak kinda fast it's really understandable thank you

You simplify everything so nicely Krista.

9 years of videogap and still your explanation taught me better than anyone. Thank you very much 🖤

@kristakingmath

3 ай бұрын

Awwwww you’re so welcome!! I’m honored to be able to help!! ❤️❤️❤️

@regularkid414

3 ай бұрын

@@kristakingmath Glad to find a good youtube tutor now that I'll need it for a year now 👋.

OMG i seriously think you just saved my life for this midterm i have today! i could not understand this concept anywhere else i looked but watching this video made it so simple! thank you!!!

@kristakingmath

8 жыл бұрын

+Becca Prunty You're welcome, glad I could help! Good luck on your midterm, I hope it goes great!

Way better than my university lecturer.

My god, I really needed this! I've been searching for information of what the determinant of the jacobian would indicate what kind of point it is for like a week and this really helped! I've kinda just been going after the gut feeling for what kind of point it is (visualising it) and gotten it right most of the time but now I can be certain! THANK YOU!

@kristakingmath

8 жыл бұрын

That's awesome! Being certain is a much better feeling, lol :) ... so glad I could help!

Wow amazing explanation! Thanks a million. I wish my teacher would explain like you!

I cannot explain how simple it was to follow this for my calculus exam tomorrow. Thank you very much!

@kristakingmath

8 жыл бұрын

+bboygadget I'm so glad I could help!

I last studied Calculus in college around 15 years ago, but this made me understand the concept fully. Thanks for a very clear explanation.

@kristakingmath

3 жыл бұрын

You're welcome, Radha, I'm glad it cleared things up! :)

By far the best explanation I've found on youtube, thank you so much!

@kristakingmath

7 жыл бұрын

Aw thanks! I'm glad you liked it. :)

I've subscribed to your channel this was 11 minutes of well spent time. Thank you for the straight to the point lesson

@kristakingmath

4 жыл бұрын

Thanks for the sub, Martyns!! :D

You are a brilliant teacher, I was struggling with stationary points for multivariate derivatives, couldn't find a simple explanation for days, you taught me in 10 mins! You're awesome!

@kristakingmath

2 жыл бұрын

Thank you so much, Jon! I'm so glad the video cleared this up! :)

Krista you are a KING

The way you explained this made it so much easier thank you so much

@kristakingmath

3 жыл бұрын

You're welcome, Jeremy, I'm so glad it made sense! :D

Wow… . you are very well at explanation this subject… . I hope you upload more practice examples on that 😊

Thanks for this lesson, it was of great help! One thing I'm still struggling with, though, is how to evaluate a critical point if the quadratic form is equal to zero. I know you're supposed to evaluate the infinitesimal increments of the function at those points, but it's usually very briefly covered, if at all, so any help on that subject would be great!

Oh my god thank you!!! I have been trying to make sense of this for a while now and I have a test in it tomorrow. I'm currently dealign with an online Calc 3 class and its terrible, there is no professor to explain concepts. This was a life saver!!

@kristakingmath

2 жыл бұрын

You're welcome, Ash! I'm so glad it helped, and I hope the test went great! :)

Thank you for this incredible tutorial!

I subscribed to your website last week. I just HAVE to say that you are a way better teacher than Khan Academy. You get the point across to me in every single video, and your online quizzes/notes..etc have greatly benefited me. Because of you I am passing my Calc class in college. Thank you!

@kristakingmath

9 жыл бұрын

That's awesome, I'm so glad you're doing well in your class! Thank you so much for letting me know; it makes me so happy to know that the Academy has been helpful!!

Amazing. Understood it in one go. I wish my math professor taught the same way 💯🔥

I have test tomorrow and this is really helpful. Thank you so much

What an outstanding explanation.. Amazing Krista

Fantastic video, couldn't understand before, now understand completely! Thanks very much :)

Look out, this channel is gonna make me learn math

Solid video! Simplifies a very difficult concept. My only suggestion would be to show the hessian matrix and use the Fsubxx Fsuxy notation as its easier to work with

ty, my teacher's straight outta russia so i dont show up to class -university of maryland

@dont_trust_any1_even_ur_waifu

7 жыл бұрын

it means i cant understand her because she has a thick accent. for example, she may or may not be a good teacher but i simply do not know because of this. also update, i ended up getting an A in the class (went to lecture once and never came back - just showed up for tests / quizzes)

@claystar9valor

6 жыл бұрын

I'm trying so hard to get an A in my applied calculus class. I've always sucked at math so it'll be a miracle if I pull it off.

@FreakyEagle13

6 жыл бұрын

Hard to understand the dialect gap. The same way that an American sounds funny when attempting to speak russian.

@FreakyEagle13

6 жыл бұрын

Yo I'm in college park right now taking calc 3. Cheers bro

@Honest-King

6 жыл бұрын

I still can't get a C+ in any calc ... Maybe diffrentials & linear algebra will be easier ..

you are amazing Krista

Your explanation is phenomenal!

You're my favorite Calc KZreadr. The way you explain it, and write it down is magnificent.

@kristakingmath

9 жыл бұрын

Aw thanks!

Thank you so much! Always better than my profs

Great video, clear explanation! I'm finishing up calculus 3 at my university. What was the hardest topic in multivariable calc for you?

Thanks a lot Krista. Lots of love from South Africa!

@kristakingmath

7 жыл бұрын

You're welcome! Glad you liked it. :)

Excellent tutorial. Learnt more about the topic here than I did in class.

@kristakingmath

3 жыл бұрын

Thanks, azarel, I'm so glad it helped! :D

This is best explanation I have ever had.

Actually ur writing is crystal clear which makes it more interesting to listen to!

@kristakingmath

3 жыл бұрын

Thanks, Amrutha, I'm glad you found it interesting! :)

@amruthavalli1260

3 жыл бұрын

@@kristakingmath 💜 keep going!

Thank you for explaining it so well Krista! That was a math workout!

@kristakingmath

3 жыл бұрын

You're welcome, Sharon! I'm so glad it all made sense! :D

Bless your soul Krista that was so helpful

@kristakingmath

5 жыл бұрын

Oh good! I'm so glad it helped! :D

I love you. So simple and clear :)

amazing... learned more in 10 min from her than 6 hours in my calc 3 course.

I've already covered this and am now practicing it. I really like the way you set everything out, because it made it much easier to navigate to the values you need when you needed them. For instance I like how you wrote out the first and second and mixed derivatives with their corresponding values at (a,b) before using the matrix method for finding 'D', so you just had to plop the values into the matrix. And then when you needed to check the specific nature of a stationary point you just went back to the values attributed to those points derived from the first order derivative. It might be second nature to you, but my process can get into such a mess and I sometimes get confused about where to look for the required values. Your process was so easy to navigate and that's what I got from your video most of all.

@kristakingmath

4 жыл бұрын

I'm so glad it helped! Sometimes in math the hardest part is just staying organized and not losing your place in the problem. So any time you can set up your formulas ahead of time, like you said, I think it can be a big help to make sure you stay on track! :D

Wonderful lesson, would give anything to be back in live classrooms again but I'll gladly take this instead, thank you for the explanation!

I was worried you were one of those tutorial videos that have a huge distracting section on the screen reserved for you face or other stuff and i'm glad this is a khan academy (in some ways even better) quality tutorial. Thank you, it's really hard to find people like you.

@kristakingmath

7 жыл бұрын

Thanks for the feedback! Glad you liked it!

my QUEEN! omg u literally saved me

Great video. I suggest doing an example with where f depends on more than 2 variables and explain the use of eigenvalues (aka positive definite vs negative definite matrix) in that case.

Gurl you go! You made it all so easier for me! I literally have 2 days till my Cal 2 final exam and i swear i needed to understand alll topics so bad! Now i feel like im saved! Yay! God bless you always! ❤

@kristakingmath

5 жыл бұрын

I'm so glad it helped, Zaiby! Good luck on the final, I hope you do great!! :D

@zaibysheikh4317

5 жыл бұрын

Haha expecting the same but krista i have one question. Is iterated integral and double integal same thing? If not then whats the difference. Please clear my doubt im confused

@zaibysheikh4317

5 жыл бұрын

And one more thing. Is implicit partial diferentiation and implicit differentiation also the same thing?

Great explanation about the meaning of the derivative tests. Have you ever had a derivative test that was undefined? (i.e. divided by zero)

You explained much better in 10 mins than my professor in 2 hours. Thank you

@kristakingmath

5 жыл бұрын

Thanks, Miss! I'm so glad the video was helpful! :D

thank you so much, your explanation was clear and very helpful!

This was incredibly helpful, you explained it better, faster and easier than my math professors at university!

@kristakingmath

8 жыл бұрын

+Maffarazzo I'm so glad it helped!

Great explanation. Very clear. Thanks. Now on to Lagrange multipliers:)

@kristakingmath

7 жыл бұрын

Nice! :)

Great video! I have one question... at 10:08 you say that we need to see if the second derivative with respect to x is negative or positive in order to see if we have a max or min at that point. Is this always true? Why dont we use the second derivative with respect to y?

Thank you saved me. PS you're better than my university lecturer

@jebril

6 жыл бұрын

Most of the online tutors are...makes you wonder. I've seen random tutors on Chegg better than 90% of actual professors.

omaigosh. I understood everything. I cannot thank you enough.

Thank you so much! You have been helping me so much this semester :D

@kristakingmath

7 жыл бұрын

You're so welcome! I'm glad I can help. :)

0 to 100 real quick

@tendo99v

5 жыл бұрын

0

@aamirbangash985

5 жыл бұрын

100

@spag5296

5 жыл бұрын

real

@alexanderkollmann9612

5 жыл бұрын

quick

@paids3764

5 жыл бұрын

lol ^^^^

You know what, you not only clever but your voice really attractive too!!! I love your accent, your pronunciations and u really inspired me to become a lecturer. Thank you so much for making tutorial videos and I love all of them ❤️❤️❤️

Thank you! Nice explanation, but shouldn't we write y in front of x in the denominator of the notation for the mixed derivative, if we want to evaluate the partial derivative of x first then y? (can be expressed as fxy as well)...

Thanks! I got an A on my final. :)

@kristakingmath

8 жыл бұрын

+Falkjar That's awesome! Congratulations! :D

Very clear, she the king for real.

Do you have lectures for computational aspects of algebraic and analytic number theory ??

I'm really bad at focusing during lectures, videos like these are incredibly helpful!

@kristakingmath

5 жыл бұрын

Oh good! I'm so glad the videos are helping! :)

your videos are saving me. THANK YOUUUU

@kristakingmath

4 жыл бұрын

You're welcome, I'm so glad they're helping! :D

Outstanding! How we can apply the method to find local minima of sphere function?

That's awesome. I have an exam about 2 hours later and i got this thanks to you. Yup!!!

@kristakingmath

9 жыл бұрын

gökay umutlu Hope the exam goes well!

What do i do if the partial derrivative test equals zero? How can i further test my results?

Amazing video! Straight to the point, super easy to understand. Saved me before my test :D

@kristakingmath

2 жыл бұрын

I'm so glad to hear that, Oskar! I hope the test went great! :D

this video is a lifesaver lol,having sem exams tmrw

You are a very good teacher. You attract students' attention. Also nice examples. Thanks to you midterms are easy...

@kristakingmath

8 жыл бұрын

+Bugrahan Taşpınar Thank you very much!

You are a goddess. This helped me so much with calc 3

Crystal clear explanation , I understood it perfectly, Thank you.

@kristakingmath

7 жыл бұрын

Thanks! I'm glad it could help.

Thanks so much, you broke this down into extremely easy to follow steps.

@kristakingmath

7 жыл бұрын

Yay! Glad it could help. :)

I’m confused (10:29) as to why we had to find 432 when we couldve just looked at 12 from the beginning. What made us look at 12 in the first place?

@mattkrcma4092

5 жыл бұрын

First we have to make sure the value of D is greater than 0. If D is less than 0, then it is a saddle point which is neither a max nor a min. Again, D=f_xx*f_yy - (f_xy)^2

Thank you for this! You are AMAZING.

Is it necessary to show that the second order partial derivatives are continuous in some disc centred at the critical point ? I have seen it in the original theorem which you have applied here.

Its amazing...!!!! very well explained

how we got second partial derivatives of x is positive but for y is negative....for instance using your example what we got -48,is it still minimum point?

Hello Krista Ma'am, when you solved the equation for stationary/critical points. Why did you neglect y= -1?

You are saving me ! It doesn't have to be so complicated. Thank you!

@kristakingmath

2 жыл бұрын

You're welcome, Nicole, I'm so glad it helped! :)

Thanks. I need a quick reference and refresh my memory. Your X looks like lamda sometime when you write.

What other test could be used when D(x, y) = 0 (inconclusive)?

The best thing about this video, is that it uses a realistic example! A lot of videos either go too easy or too hard...

@kristakingmath

2 жыл бұрын

Glad you thought so! :)

hi i'm confused about when we can just use the first derivative test instead of the second?

thank you very much, amazingly well explained. Really gave me some hope for my exam tomorrow!

@kristakingmath

8 жыл бұрын

I'm so glad! I hope your exam goes great!!

Excellent you are my good teacher

sooo... if i get this correctly, whenever our value is LESS than 0 we can draw the conculsion that it's a saddle point BUT whenever we get something greater than zero, we have to check by inspection?

@kristakingmath

8 жыл бұрын

+Shahin Sateei Correct.

Thank u very much mam, I did not understood this concept in class but after watching this video I am confident enough to solve such problems.

@kristakingmath

4 жыл бұрын

Oh good! I'm so glad it helped and that you're feeling confident with these problems now! :D

Thank you for making learning so easily accessable ...... :) keep up the good work

@kristakingmath

8 жыл бұрын

+soumya sarkar I will, thank you so much!

Hey, how do you do this for a finite domain?