At your disposal, you have the answers to; what is dark energy, dark matter and why the expansion of the universe is accelerating. Included will be the answer as to why (how) matter " curves space" and how space is able to bend light.
Hi, Eddie. Love your content and books--quick question. You mentioned in your discussion of dr/dt that "that is what makes chain rule work." Could you explain that idea further?
Starting around 5:50, he chose to differentiate V with respect to r, rather than r with respect to V. In general, how do you know which one to do? Do you just look and guess which one is easier to calculate?
Differentiating V with respect to r eaiser since you know that the rates of change of v and r are just reciprocals of each other. Just like if you you have y=x*x then the rate of change of y to x is 2 and that of x with respect to y is 1/2. But if you go the other way round like x=√y and you use the chain rule you will get 1/2 as the rate of change of x with respect to y.
His 2013 videos are so underrated
Thank you mr woo
bro youre goated as hell
Thank you so much for the explanation.
At your disposal, you have the answers to; what is dark energy, dark matter and why the expansion of the universe is accelerating.
Included will be the answer as to why (how) matter " curves space" and how space is able to bend light.
Mr woo is a saint
Hi, Eddie. Love your content and books--quick question. You mentioned in your discussion of dr/dt that "that is what makes chain rule work." Could you explain that idea further?
do you understand it now or should I explain?
Starting around 5:50, he chose to differentiate V with respect to r, rather than r with respect to V. In general, how do you know which one to do? Do you just look and guess which one is easier to calculate?
Differentiating V with respect to r eaiser since you know that the rates of change of v and r are just reciprocals of each other. Just like if you you have y=x*x then the rate of change of y to x is 2 and that of x with respect to y is 1/2. But if you go the other way round like x=√y and you use the chain rule you will get 1/2 as the rate of change of x with respect to y.
@@user-ci9te3yt6t Thank you