Video:Partial derivative: Difference between revisions
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{{perspectives}} | |||
You can access most of the videos here at the playlist: | |||
* [https://www.youtube.com/playlist?list=PLC0bHnWu122knxUqzmC6UOeNygKT63Hr-&feature=view_all Partial derivative] | |||
==Definition at a point== | ==Definition at a point== | ||
===Generic definition=== | ===Generic definition=== | ||
<center>{{#widget:YouTube|id= | <center>{{#widget:YouTube|id=rsZc1SYuiig}}</center> | ||
===For a function of two variables=== | ===For a function of two variables=== | ||
<center>{{#widget:YouTube|id= | <center>{{#widget:YouTube|id=P9ciiweXh_A}}{{#widget:YouTube|id=j6TthcrlvoU}}</center> | ||
===For a function of multiple variables=== | ===For a function of multiple variables=== | ||
<center>{{#widget:YouTube|id= | <center>{{#widget:YouTube|id=bWn-XXfMleE}}</center> | ||
==Definition as a function== | ==Definition as a function== | ||
<center>{{#widget:YouTube|id= | ===Generic definition=== | ||
===For a function of two variables=== | |||
<center>{{#widget:YouTube|id=0zu9BstjjZA}}</center> | |||
===For a function of multiple variables=== | |||
==Graphical interpretation== | |||
===For a function of two variables at a point=== | |||
<center>{{#widget:YouTube|id=yMu-ZIoGjTo}}</center> | |||
===For a function of multiple variables at a point=== | |||
==Related notions== | |||
No videos yet! | |||
==Domain considerations== | |||
===For a function of two variables=== | |||
<center>{{#widget:YouTube|id=9Q9OrXye748}}</center> | |||
==Caveats== | |||
===Value of partial derivative depends on all inputs=== | |||
{{further|[[Value of partial derivative depends on all inputs]]}} | |||
<center>{{#widget:YouTube|id=2T7iFZVLtn0}}</center> | |||
<center>{{#widget:YouTube|id=Br6mejHYtaM}}</center> | |||
<center>{{#widget:YouTube|id=yHHICcNTh3w}}</center> | |||
===Meaning of partial derivative depends on entire coordinate system=== | |||
{{further|[[Meaning of partial derivative depends on entire coordinate system]]}} | |||
<center>{{#widget:YouTube|id=tfH2iqt2E0E}}</center> | |||
<center>{{#widget:youTube|id=majog6_U8C0}}</center> | |||
<center>{{#widget:YouTube|id=sYpkeEgEWUs}}</center> | |||
Latest revision as of 17:06, 25 January 2013
ORIGINAL FULL PAGE: Partial derivative
STUDY THE TOPIC AT MULTIPLE LEVELS:
ALSO CHECK OUT: Page with videos on the topic, both embedded and linked to
You can access most of the videos here at the playlist:
Definition at a point
Generic definition
For a function of two variables
For a function of multiple variables
Definition as a function
Generic definition
For a function of two variables
For a function of multiple variables
Graphical interpretation
For a function of two variables at a point
For a function of multiple variables at a point
Related notions
No videos yet!
Domain considerations
For a function of two variables
Caveats
Value of partial derivative depends on all inputs
For further information, refer: Value of partial derivative depends on all inputs
Meaning of partial derivative depends on entire coordinate system
For further information, refer: Meaning of partial derivative depends on entire coordinate system