while expanding in taylor series what if function first derivative exist but the second derivative doesnot exist then wheather this method is applicable or not
Keep in mind, that when we use Taylor series, the derivatives have to exist and be continuous between the point where you are to the point you are going to.
Thank you. To get even more help, subscribe to the numericalmethodsguy channel ua-cam.com/users/numericalmethodsguy, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources. Follow the numerical methods blog at AutarKaw.org. You can also take a free massive open online course (MOOC) at canvas.instructure.com/enroll/KYGTJR Share these links with your friends through social media and email.
dont know if you guys cares but if you are bored like me atm you can stream all the new movies and series on Instaflixxer. I've been binge watching with my girlfriend for the last few weeks =)
4:41 If f(x,y)= func of x and y then f'(x,y) wrt x should be partial f partial x only I don't understand how that partial f partial y and dy/dx come about. I'm guessing it's because of multivariate chain rule but I can't understand where and how
f(x,y) is a function of x and y, but one has to realize that x and y are not independent variables. y is a function of x. So chain rule goes like this. for us df(x,y)/dx=delf/delx*dx/dx +delf/dely *dy/dx=delf/delx+delf/dely*dy/dx
while expanding in taylor series what if function first derivative exist but the second derivative doesnot exist then wheather this method is applicable or not
Keep in mind, that when we use Taylor series, the derivatives have to exist and be continuous between the point where you are to the point you are going to.
Your lectures are awesome. Infact I understand everything so easily. Thanks a lot sir
Thank you.
To get even more help, subscribe to the numericalmethodsguy channel ua-cam.com/users/numericalmethodsguy, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources. Follow the numerical methods blog at AutarKaw.org. You can also take a free massive open online course (MOOC) at canvas.instructure.com/enroll/KYGTJR Share these links with your friends through social media and email.
dont know if you guys cares but if you are bored like me atm you can stream all the new movies and series on Instaflixxer. I've been binge watching with my girlfriend for the last few weeks =)
@Alex Phoenix yup, I have been watching on InstaFlixxer for months myself =)
4:41
If f(x,y)= func of x and y then f'(x,y) wrt x should be partial f partial x only
I don't understand how that partial f partial y and dy/dx come about. I'm guessing it's because of multivariate chain rule but I can't understand where and how
f(x,y) is a function of x and y, but one has to realize that x and y are not independent variables. y is a function of x. So chain rule goes like this.
for us df(x,y)/dx=delf/delx*dx/dx +delf/dely *dy/dx=delf/delx+delf/dely*dy/dx
@@numericalmethodsguy
Oh! It was so simple but I still missed it out
Thanks a lot for clearing it up
Its not for generalised rk method. Look for an introduction to numerical analysis ralston rabinowitz
If you mean Runge Kutta 4th order method - it is here - nm.mathforcollege.com/chapter-08-04-runge-kutta-4th-order-method/
this guy taught teacher who taught me.
Small world!
Sir, Are you Indian. Indian from Bharat?
From the world!
@@numericalmethodsguy I didn't get it Sir.
@@isuryashashank Categories are important only when necessary. Yes, I was born in India.
THANKS..
What is 0(h^3)?
autarkaw.org/2008/08/07/runge-kutta-2nd-order-equations-derived/