Video:Partial derivative: Difference between revisions

From Calculus
No edit summary
 
Line 1: Line 1:
{{perspectives}}
{{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=wPEMBebMm64}}</center>
<center>{{#widget:YouTube|id=rsZc1SYuiig}}</center>


===For a function of two variables===
===For a function of two variables===


<center>{{#widget:YouTube|id=vC89LB9mK1g}}{{#widget:YouTube|id=Tj4Nf6xWZh0}}</center>
<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=dt-hRS9VNWs}}</center>
<center>{{#widget:YouTube|id=bWn-XXfMleE}}</center>


==Definition as a function==
==Definition as a function==


<center>{{#widget:YouTube|id=fvyCAWWFyKA}}</center>
===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==
==Related notions==
Line 24: Line 41:
==Domain considerations==
==Domain considerations==


<center>{{#widget:YouTube|id=oCzLzPCUPCU}}</center>
===For a function of two variables===
<center>{{#widget:YouTube|id=9Q9OrXye748}}</center>


==Caveats==
==Caveats==
Line 32: Line 50:
{{further|[[Value of partial derivative depends on all inputs]]}}
{{further|[[Value of partial derivative depends on all inputs]]}}


<center>{{#widget:YouTube|id=I1tdksRvPII}}</center>
<center>{{#widget:YouTube|id=2T7iFZVLtn0}}</center>


<center>{{#widget:YouTube|id=SD8-LiLR59Q}}</center>
<center>{{#widget:YouTube|id=Br6mejHYtaM}}</center>


<center>{{#widget:YouTube|id=iP6rBuaNdrI}}</center>
<center>{{#widget:YouTube|id=yHHICcNTh3w}}</center>


===Meaning of partial derivative depends on entire coordinate system===
===Meaning of partial derivative depends on entire coordinate system===
Line 42: Line 60:
{{further|[[Meaning of partial derivative depends on entire coordinate system]]}}
{{further|[[Meaning of partial derivative depends on entire coordinate system]]}}


<center>{{#widget:YouTube|id=dTHMasMwolI}}</center>
<center>{{#widget:YouTube|id=tfH2iqt2E0E}}</center>


<center>{{#widget:youTube|id=vZghKVI1BBM}}</center>
<center>{{#widget:youTube|id=majog6_U8C0}}</center>


<center>{{#widget:YouTube|id=q6khjEnZ71E}}</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

{{#widget:YouTube|id=rsZc1SYuiig}}

For a function of two variables

{{#widget:YouTube|id=P9ciiweXh_A}}{{#widget:YouTube|id=j6TthcrlvoU}}

For a function of multiple variables

{{#widget:YouTube|id=bWn-XXfMleE}}

Definition as a function

Generic definition

For a function of two variables

{{#widget:YouTube|id=0zu9BstjjZA}}

For a function of multiple variables

Graphical interpretation

For a function of two variables at a point

{{#widget:YouTube|id=yMu-ZIoGjTo}}

For a function of multiple variables at a point

Related notions

No videos yet!

Domain considerations

For a function of two variables

{{#widget:YouTube|id=9Q9OrXye748}}

Caveats

Value of partial derivative depends on all inputs

For further information, refer: Value of partial derivative depends on all inputs

{{#widget:YouTube|id=2T7iFZVLtn0}}
{{#widget:YouTube|id=Br6mejHYtaM}}
{{#widget:YouTube|id=yHHICcNTh3w}}

Meaning of partial derivative depends on entire coordinate system

For further information, refer: Meaning of partial derivative depends on entire coordinate system

{{#widget:YouTube|id=tfH2iqt2E0E}}
{{#widget:youTube|id=majog6_U8C0}}
{{#widget:YouTube|id=sYpkeEgEWUs}}