Calculus chain rule clarification
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Chain rule clarification:
Please have a look at the picture before continuing to read my query as this picture provides the context. On the fourth line of working (the one before the final simplified answer), could I get some clarification on the use of chain rule here?
Referring to the line above this one, $d/dt(df/dg) x dg/dt = dg/dt x d/dg(df/dg) x dg/dt$ (ignoring the part on the right of the addition). Does this mean $d/dt(df/dg) = dg/dt x d/dg(df/dg)$ since $dg/dt x d/dg = d/dt$ with the $dg$ cancelling out on the LHS. Since I have never come across this in my life, could someone please explain this is some depth if what I wrote here is true. If false could someone give me an explanation of the working. Sorry in advance if my English is not clear as it is not my native language.
calculus chain-rule
edited Jan 15 at 22:15
tinlyx
95021118
asked Jan 15 at 21:52
Sho YamadaSho Yamada
1
$endgroup$
add a comment |
$begingroup$
Chain rule clarification:
Please have a look at the picture before continuing to read my query as this picture provides the context. On the fourth line of working (the one before the final simplified answer), could I get some clarification on the use of chain rule here?
Referring to the line above this one, $d/dt(df/dg) x dg/dt = dg/dt x d/dg(df/dg) x dg/dt$ (ignoring the part on the right of the addition). Does this mean $d/dt(df/dg) = dg/dt x d/dg(df/dg)$ since $dg/dt x d/dg = d/dt$ with the $dg$ cancelling out on the LHS. Since I have never come across this in my life, could someone please explain this is some depth if what I wrote here is true. If false could someone give me an explanation of the working. Sorry in advance if my English is not clear as it is not my native language.
calculus chain-rule
edited Jan 15 at 22:15
tinlyx
95021118
asked Jan 15 at 21:52
Sho YamadaSho Yamada
1
$endgroup$
$begingroup$
Welcome to MSE. Here's a link to a guide on how to typeset a question properly in LaTeX meta.math.stackexchange.com/questions/5020/…. I'd suggest that you take sometime to edit your question to a more readable form.
$endgroup$
– BigbearZzz
Jan 15 at 21:58
$begingroup$
In the future, please take the time to enter important parts of your question as text instead of posting a picture of it. Images are neither searchable nor accessible to screen readers, nor do they show up in question summaries. The previous comment has a link to a quick reference for formatting mathematical expressions in MathJax.
$endgroup$
– amd
Jan 16 at 0:53
$begingroup$
Please, please, please format the expressions in your last paragraph properly. They’re night unreadable. Make it easier for others to help you.
$endgroup$
– amd
Jan 16 at 0:54
$begingroup$
Yes, you are correct.
$endgroup$
– William Elliot
Jan 16 at 2:45
add a comment |
$begingroup$
Chain rule clarification:
Please have a look at the picture before continuing to read my query as this picture provides the context. On the fourth line of working (the one before the final simplified answer), could I get some clarification on the use of chain rule here?
Referring to the line above this one, $d/dt(df/dg) x dg/dt = dg/dt x d/dg(df/dg) x dg/dt$ (ignoring the part on the right of the addition). Does this mean $d/dt(df/dg) = dg/dt x d/dg(df/dg)$ since $dg/dt x d/dg = d/dt$ with the $dg$ cancelling out on the LHS. Since I have never come across this in my life, could someone please explain this is some depth if what I wrote here is true. If false could someone give me an explanation of the working. Sorry in advance if my English is not clear as it is not my native language.
calculus chain-rule
edited Jan 15 at 22:15
tinlyx
95021118
asked Jan 15 at 21:52
Sho YamadaSho Yamada
1
$endgroup$
Chain rule clarification:
Please have a look at the picture before continuing to read my query as this picture provides the context. On the fourth line of working (the one before the final simplified answer), could I get some clarification on the use of chain rule here?
Referring to the line above this one, $d/dt(df/dg) x dg/dt = dg/dt x d/dg(df/dg) x dg/dt$ (ignoring the part on the right of the addition). Does this mean $d/dt(df/dg) = dg/dt x d/dg(df/dg)$ since $dg/dt x d/dg = d/dt$ with the $dg$ cancelling out on the LHS. Since I have never come across this in my life, could someone please explain this is some depth if what I wrote here is true. If false could someone give me an explanation of the working. Sorry in advance if my English is not clear as it is not my native language.
calculus chain-rule
calculus chain-rule
edited Jan 15 at 22:15
tinlyx
95021118
asked Jan 15 at 21:52
Sho YamadaSho Yamada
1
edited Jan 15 at 22:15
tinlyx
95021118
asked Jan 15 at 21:52
Sho YamadaSho Yamada
1
edited Jan 15 at 22:15
tinlyx
95021118
edited Jan 15 at 22:15
tinlyx
95021118
edited Jan 15 at 22:15
tinlyx
95021118
95021118
asked Jan 15 at 21:52
Sho YamadaSho Yamada
1
asked Jan 15 at 21:52
Sho YamadaSho Yamada
1
asked Jan 15 at 21:52
Sho YamadaSho Yamada
1
1
$begingroup$
Welcome to MSE. Here's a link to a guide on how to typeset a question properly in LaTeX meta.math.stackexchange.com/questions/5020/…. I'd suggest that you take sometime to edit your question to a more readable form.
$endgroup$
– BigbearZzz
Jan 15 at 21:58
$begingroup$
In the future, please take the time to enter important parts of your question as text instead of posting a picture of it. Images are neither searchable nor accessible to screen readers, nor do they show up in question summaries. The previous comment has a link to a quick reference for formatting mathematical expressions in MathJax.
$endgroup$
– amd
Jan 16 at 0:53
$begingroup$
Please, please, please format the expressions in your last paragraph properly. They’re night unreadable. Make it easier for others to help you.
$endgroup$
– amd
Jan 16 at 0:54
$begingroup$
Yes, you are correct.
$endgroup$
– William Elliot
Jan 16 at 2:45
add a comment |
$begingroup$
Welcome to MSE. Here's a link to a guide on how to typeset a question properly in LaTeX meta.math.stackexchange.com/questions/5020/…. I'd suggest that you take sometime to edit your question to a more readable form.
$endgroup$
– BigbearZzz
Jan 15 at 21:58
$begingroup$
In the future, please take the time to enter important parts of your question as text instead of posting a picture of it. Images are neither searchable nor accessible to screen readers, nor do they show up in question summaries. The previous comment has a link to a quick reference for formatting mathematical expressions in MathJax.
$endgroup$
– amd
Jan 16 at 0:53
$begingroup$
Please, please, please format the expressions in your last paragraph properly. They’re night unreadable. Make it easier for others to help you.
$endgroup$
– amd
Jan 16 at 0:54
$begingroup$
Yes, you are correct.
$endgroup$
– William Elliot
Jan 16 at 2:45
$begingroup$
Welcome to MSE. Here's a link to a guide on how to typeset a question properly in LaTeX meta.math.stackexchange.com/questions/5020/…. I'd suggest that you take sometime to edit your question to a more readable form.
$endgroup$
– BigbearZzz
Jan 15 at 21:58
$begingroup$
Welcome to MSE. Here's a link to a guide on how to typeset a question properly in LaTeX meta.math.stackexchange.com/questions/5020/…. I'd suggest that you take sometime to edit your question to a more readable form.
$endgroup$
– BigbearZzz
Jan 15 at 21:58
$begingroup$
In the future, please take the time to enter important parts of your question as text instead of posting a picture of it. Images are neither searchable nor accessible to screen readers, nor do they show up in question summaries. The previous comment has a link to a quick reference for formatting mathematical expressions in MathJax.
$endgroup$
– amd
Jan 16 at 0:53
$begingroup$
In the future, please take the time to enter important parts of your question as text instead of posting a picture of it. Images are neither searchable nor accessible to screen readers, nor do they show up in question summaries. The previous comment has a link to a quick reference for formatting mathematical expressions in MathJax.
$endgroup$
– amd
Jan 16 at 0:53
$begingroup$
Please, please, please format the expressions in your last paragraph properly. They’re night unreadable. Make it easier for others to help you.
$endgroup$
– amd
Jan 16 at 0:54
$begingroup$
Please, please, please format the expressions in your last paragraph properly. They’re night unreadable. Make it easier for others to help you.
$endgroup$
– amd
Jan 16 at 0:54
$begingroup$
Yes, you are correct.
$endgroup$
– William Elliot
Jan 16 at 2:45
$begingroup$
Yes, you are correct.
$endgroup$
– William Elliot
Jan 16 at 2:45
add a comment |
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$begingroup$
Welcome to MSE. Here's a link to a guide on how to typeset a question properly in LaTeX meta.math.stackexchange.com/questions/5020/…. I'd suggest that you take sometime to edit your question to a more readable form.
$endgroup$
– BigbearZzz
Jan 15 at 21:58
$begingroup$
In the future, please take the time to enter important parts of your question as text instead of posting a picture of it. Images are neither searchable nor accessible to screen readers, nor do they show up in question summaries. The previous comment has a link to a quick reference for formatting mathematical expressions in MathJax.
$endgroup$
– amd
Jan 16 at 0:53
$begingroup$
Please, please, please format the expressions in your last paragraph properly. They’re night unreadable. Make it easier for others to help you.
$endgroup$
– amd
Jan 16 at 0:54
$begingroup$
Yes, you are correct.
$endgroup$
– William Elliot
Jan 16 at 2:45