Issue in applying partial chain rule
I was reading through a derivation and saw this
I think it's using the partial derivative chain rule but I'm not sure how it's being applied in this case. Any ideas? We always used to do this little tree diagrams to solve the partial derivatives but not sure how to go about that here.
derivatives partial-derivative
asked Dec 2 at 0:49
AlfroJang80
1483
add a comment |
I was reading through a derivation and saw this
I think it's using the partial derivative chain rule but I'm not sure how it's being applied in this case. Any ideas? We always used to do this little tree diagrams to solve the partial derivatives but not sure how to go about that here.
derivatives partial-derivative
asked Dec 2 at 0:49
AlfroJang80
1483
This looks relevant: math.stackexchange.com/questions/217702/…. If you exchange the derivative and expectation, you can get your result very easily. The question really is whether the conditions under which the interchange is valid hold in your case.
– Aditya Dua
Dec 2 at 3:48
add a comment |
I was reading through a derivation and saw this
I think it's using the partial derivative chain rule but I'm not sure how it's being applied in this case. Any ideas? We always used to do this little tree diagrams to solve the partial derivatives but not sure how to go about that here.
derivatives partial-derivative
asked Dec 2 at 0:49
AlfroJang80
1483
I was reading through a derivation and saw this
I think it's using the partial derivative chain rule but I'm not sure how it's being applied in this case. Any ideas? We always used to do this little tree diagrams to solve the partial derivatives but not sure how to go about that here.
derivatives partial-derivative
derivatives partial-derivative
asked Dec 2 at 0:49
AlfroJang80
1483
asked Dec 2 at 0:49
AlfroJang80
1483
asked Dec 2 at 0:49
AlfroJang80
1483
asked Dec 2 at 0:49
AlfroJang80
1483
asked Dec 2 at 0:49
AlfroJang80
1483
1483
This looks relevant: math.stackexchange.com/questions/217702/…. If you exchange the derivative and expectation, you can get your result very easily. The question really is whether the conditions under which the interchange is valid hold in your case.
– Aditya Dua
Dec 2 at 3:48
add a comment |
This looks relevant: math.stackexchange.com/questions/217702/…. If you exchange the derivative and expectation, you can get your result very easily. The question really is whether the conditions under which the interchange is valid hold in your case.
– Aditya Dua
Dec 2 at 3:48
This looks relevant: math.stackexchange.com/questions/217702/…. If you exchange the derivative and expectation, you can get your result very easily. The question really is whether the conditions under which the interchange is valid hold in your case.
– Aditya Dua
Dec 2 at 3:48
This looks relevant: math.stackexchange.com/questions/217702/…. If you exchange the derivative and expectation, you can get your result very easily. The question really is whether the conditions under which the interchange is valid hold in your case.
– Aditya Dua
Dec 2 at 3:48
add a comment |
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This looks relevant: math.stackexchange.com/questions/217702/…. If you exchange the derivative and expectation, you can get your result very easily. The question really is whether the conditions under which the interchange is valid hold in your case.
– Aditya Dua
Dec 2 at 3:48