i have been studying youtube for my math classes for about 5 yrs now. and i have to say YOU are by far the best teacher on youtube. not only you give good example you are very conceptual. if you taught in my school, i would totally take your class! once again, THANK YOU SO MUCH!
I was actually taking the regular derivative of psi with respect to x (the top 'd' in d/dx does look a little curly which may have confused you). So on the parts with the "y"s, you need to use the chain rule (implicit differentiation).
I love your hard work and dedication like you are showing so many examples you have three separate videos just to show the examples of exact equations which is amazing. please keep up the great work 🙏 Sal Khan you are the hope of so many engineering students god bless you
When you take the partial derivative with respect to a variable, all other variables are treated as constants. So taking the partial derivative of 3x^2 with respect to "y" is 0 b/c x is a constant. Taking the partial derivative of 6y^2 with respect to "x" is 0 b/c y is a constant.
are u talking about what's happening at 7:22? coz i didn't get that as well upd: oops, no, i got it ( we take y as a function of y(x), so it's derivative with respect to x is going to be y'(x). he just let go of "(x)"-s
i have been studying youtube for my math classes for about 5 yrs now. and i have to say YOU are by far the best teacher on youtube. not only you give good example you are very conceptual. if you taught in my school, i would totally take your class! once again, THANK YOU SO MUCH!
I was actually taking the regular derivative of psi with respect to x (the top 'd' in d/dx does look a little curly which may have confused you). So on the parts with the "y"s, you need to use the chain rule (implicit differentiation).
I love your hard work and dedication like you are showing so many examples you have three separate videos just to show the examples of exact equations which is amazing. please keep up the great work 🙏
Sal Khan you are the hope of so many engineering students god bless you
what my teacher couldn't explain in a week you explained in an hour
Jemima Khan thats what i need to say
thank you soooo much! you've made my last 2 semesters a million times easier! I love you man!!!
man we can't thank you enough :D
When you take the partial derivative with respect to a variable, all other variables are treated as constants. So taking the partial derivative of 3x^2 with respect to "y" is 0 b/c x is a constant. Taking the partial derivative of 6y^2 with respect to "x" is 0 b/c y is a constant.
are u talking about what's happening at 7:22? coz i didn't get that as well
upd: oops, no, i got it ( we take y as a function of y(x), so it's derivative with respect to x is going to be y'(x).
he just let go of "(x)"-s
It all clicked right at the end when you summed everything up!
Khan you are a genius, kind of hilarious but still a genius
Thanks Sal!
You're great man!
thank you .
IT JUST AWESOME !
THANK U *-*
Hi Sal,
Why couldn't we just take straight a sum of two integrals of (3x^2-2xy+2) + (6y^2-x^2+3) ? It gives the same result....
Thanks
I wonder if we should learn differential equations in school or in university
best!
good
Why do you need to change the original form? Isn't ___dx + ___dy = 0 what we want?
do Wronksi please, i will try to post this on every video sorry :)
good stuff!
Yeah, he meant to say product rule.
some one tell me why is the partial zero before this ypu just said that it was a constant and had nothing to do with it
AWSOME MAN!! AWSOMEEE!
u rlly pulled that random 2 outta the sky
U WANTED US TO NOT BEING A ROBOT AND I FINALY UNDERSTANT U WHEN U TAKE THE DIRIVATIVE OF PSI AT THE END AND SHOW US ITS THE SAME
@khanacademy Hey Salman, can h'(y) be equal to 0?
We don't know what the function will lead us to so we simply say dh(y)/dx. = h'(y)
😘😘 love you maahn
i love you.........!
why is the X^2 0 at 1:58?
abdullah jeffers “3x^2” gets treated as a constant to which the derivative of a constant is zero
This is really helpful. I thank you but can you write Fucking more readable?
@luischuchopepe UNAM?
Thank you