the energy was so scary it was like watching a horror movie but in the best way possible. you took us on a journey full of suspense and excitement! amazing, I'm going to smash these exams thanks to you!!
thank you for the video, i love that you were not doing unnecessary easy computation, but went straight to the point and saved my time. i liked the video
Why is it that when you analyze the sign of D(x,y) and it becomes >0, that you always analyze fxx. Why not fyy or fxy or even f(x,y). What's the reason for this?
Great question! I’m going to throw out a bunch of terms and give you a link to a video. If that video doesn’t do it for you, then throw the terms into the search and hopefully you can find a better one.
For a function f(x,y), there is a matrix made up of the second partial derivatives. That matrix is called the Hessian. The determinant of this matrix along with the eigenvalues of the matrix are used to classify critical points.
The determining factor that distinguishes a local max from a local min is the calculation of whether the matrix is positive definite or negative definite. Checking the sign of f_xx is a shortcut to this calculation.
I should have been more clear, I am setting the expression 3y(y-2) equal to zero since critical points occur when the first partial derivatives are zero simultaneously.
Hi and thanks a lot for your help! My problem is the following: I would like to draw a phase diagram for a system of 3 differential equations And it has three parameters
The only video on TH-cam that matters on this topic actually. Thanks man
the energy was so scary it was like watching a horror movie but in the best way possible. you took us on a journey full of suspense and excitement! amazing, I'm going to smash these exams thanks to you!!
That encouraging! Thank you
000p@@NakiaRimmer
This video is amazing! The energy and your explanations is unmatched on youtube! Thank you
finally a video that’s actually helpful, i watched tons and all of them solved pretty simple questions
You are saving me for this final. Thank you so so much! Amazing explanation
thank you for the video, i love that you were not doing unnecessary easy computation, but went straight to the point and saved my time. i liked the video
Really nice video thanks Nakia!
Really great explained. You deserve million subscribers
Thank you so much 😀
Why is it that when you analyze the sign of D(x,y) and it becomes >0, that you always analyze fxx. Why not fyy or fxy or even f(x,y). What's the reason for this?
Great question! I’m going to throw out a bunch of terms and give you a link to a video. If that video doesn’t do it for you, then throw the terms into the search and hopefully you can find a better one.
For a function f(x,y), there is a matrix made up of the second partial derivatives. That matrix is called the Hessian. The determinant of this matrix along with the eigenvalues of the matrix are used to classify critical points.
The determining factor that distinguishes a local max from a local min is the calculation of whether the matrix is positive definite or negative definite. Checking the sign of f_xx is a shortcut to this calculation.
th-cam.com/video/dj6uAP_RwB0/w-d-xo.html
How to know 3:06 ? Like how did you get y=0 or y=2?
I should have been more clear, I am setting the expression 3y(y-2) equal to zero since critical points occur when the first partial derivatives are zero simultaneously.
Waaaaw amazing teacher 😊
fantastic video!!
I like your energy. thanks for the help
This was great. It really helped me.
THANK YOU I LOVE YOU
Can you help please
how classification of critical points of system in three equation in 3d
عساك عرفت
Thankyou for this .it was really helpful
what happened to 3x^2 when you moved to 3y^2-6y
That was under the case where x = 0
Great video... thanks
excellent problem has max, min and saddle points!!!!
Thank you so much
Thank you this helped
Hi and thanks a lot for your help! My problem is the following: I would like to draw a phase diagram for a system of 3 differential equations And it has three parameters
Thank you! Great explanation
bump
Waaaaw amazing teacher 😊