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Partial derivative with respect to three variables

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Partial derivative with respect to three variables

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1

I just started learning LaTeX and I am facing problem in writing the following equation, can anyone please help me out?

symbols

share|improve this question

edited 1 hour ago

Bernard

170k775202

asked 1 hour ago

shadow khshadow kh

1084

New contributor

shadow kh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

add a comment | 

1

I just started learning LaTeX and I am facing problem in writing the following equation, can anyone please help me out?

symbols

share|improve this question

edited 1 hour ago

Bernard

170k775202

asked 1 hour ago

shadow khshadow kh

1084

New contributor

shadow kh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

add a comment | 

I just started learning LaTeX and I am facing problem in writing the following equation, can anyone please help me out?

symbols

share|improve this question

edited 1 hour ago

Bernard

170k775202

asked 1 hour ago

shadow khshadow kh

1084

New contributor

shadow kh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|improve this question

edited 1 hour ago

Bernard

170k775202

asked 1 hour ago

shadow khshadow kh

1084

New contributor

shadow kh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|improve this question

edited 1 hour ago

Bernard

170k775202

asked 1 hour ago

shadow khshadow kh

1084

New contributor

shadow kh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

edited 1 hour ago

Bernard

170k775202

edited 1 hour ago

Bernard

170k775202

asked 1 hour ago

shadow khshadow kh

1084

New contributor

shadow kh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 1 hour ago

shadow khshadow kh

1084

5 Answers
5

active

oldest

votes

4

A simpler code with the diffcoeff package. The order of differentiation is automatically computed — I suppose k+l is k_1+k_2+l:

documentclass{article}

usepackage{mathtools, diffcoeff}

DeclarePairedDelimiterabs{lvert}{rvert}



begin{document}



[

abs*{diffp[k_1,k_2,l]{u_0}

           {x_1, x_2, t}} leq C

]



end{document} 

share|improve this answer

answered 1 hour ago

BernardBernard

170k775202

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I didn't know about diffcoeff. Nice. Off topic: k_1+k_2+l just to be compatible with order of powers in denominator? :-)
  
  – Sigur
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Sigur: it is a comparatively recent package. For the question: yes it is so. Of course, I understand that probably, $k$ denotes $k_1+k_2$, but there doesn't seem to be tools to use k in the numerator and k_1, k_2 in the denominator.
  
  – Bernard
  1 hour ago
  

  
  
  
  

add a comment | 

3

You could write

[leftlvertfrac{partial^{k+l}u_0}

{{partial x_1}^{k_1}{partial x_2}^{k_2}partial t^l}rightrvert

leq C]

share|improve this answer

edited 1 hour ago

Sigur

25.3k356139

answered 1 hour ago

José Carlos SantosJosé Carlos Santos

7931217

add a comment | 

2

documentclass{article}



begin{document}

$ left | frac{partial^{k+1}u_0}{{partial x_1}^{k_1} {partial x_2}^{k_2} partial t^l} right | leq C $

end{document}

share|improve this answer

edited 1 hour ago

answered 1 hour ago

Sina AhmadiSina Ahmadi

65538

add a comment | 

2

one more variation ...

documentclass{article}

usepackage{mathtools}

DeclarePairedDelimiterabs{lvert}{rvert}



begin{document}

[

abs*{frac{partial^{k+l}u_0}

           {partial x_1^{k_1}partial x_2^{k_2}partial t^l}} leq C

]

end{document}

share|improve this answer

answered 1 hour ago

ZarkoZarko

125k867164

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  How did you produce the frame around the image?
  
  – Sigur
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Sigur, it is not part of latex code, but drawn by Snipping Tool, which i use for copping image from pdf previewer to site. in it i select option Show Ink selection ...
  
  – Zarko
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Ah, OK. I use Shutter. Maybe there is such frame option there.
  
  – Sigur
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thanks to you I've just created a plugin for Shutter to add 1px solid blue frame around the image. Now I need to know how to run it automatically when screen shot is created.
  
  – Sigur
  33 mins ago
  

  
  
  
  

add a comment | 

2

Like this?

documentclass{report}

usepackage{amsmath}



begin{document}

[ Bigglvert 

   frac{partial^{k+l}u_0}

        {partial^{k_1}{x_1}, 

         partial^{k_2}{x_2}, 

         partial^{l}{t}} 

   Biggrvert leq C, 

]

end{document}

share|improve this answer

edited 1 hour ago

answered 1 hour ago

SigurSigur

25.3k356139

add a comment | 

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4

A simpler code with the diffcoeff package. The order of differentiation is automatically computed — I suppose k+l is k_1+k_2+l:

documentclass{article}

usepackage{mathtools, diffcoeff}

DeclarePairedDelimiterabs{lvert}{rvert}



begin{document}



[

abs*{diffp[k_1,k_2,l]{u_0}

           {x_1, x_2, t}} leq C

]



end{document} 

share|improve this answer

answered 1 hour ago

BernardBernard

170k775202

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I didn't know about diffcoeff. Nice. Off topic: k_1+k_2+l just to be compatible with order of powers in denominator? :-)
  
  – Sigur
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Sigur: it is a comparatively recent package. For the question: yes it is so. Of course, I understand that probably, $k$ denotes $k_1+k_2$, but there doesn't seem to be tools to use k in the numerator and k_1, k_2 in the denominator.
  
  – Bernard
  1 hour ago
  

  
  
  
  

add a comment | 

4

A simpler code with the diffcoeff package. The order of differentiation is automatically computed — I suppose k+l is k_1+k_2+l:

documentclass{article}

usepackage{mathtools, diffcoeff}

DeclarePairedDelimiterabs{lvert}{rvert}



begin{document}



[

abs*{diffp[k_1,k_2,l]{u_0}

           {x_1, x_2, t}} leq C

]



end{document} 

share|improve this answer

answered 1 hour ago

BernardBernard

170k775202

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I didn't know about diffcoeff. Nice. Off topic: k_1+k_2+l just to be compatible with order of powers in denominator? :-)
  
  – Sigur
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Sigur: it is a comparatively recent package. For the question: yes it is so. Of course, I understand that probably, $k$ denotes $k_1+k_2$, but there doesn't seem to be tools to use k in the numerator and k_1, k_2 in the denominator.
  
  – Bernard
  1 hour ago
  

  
  
  
  

add a comment | 

A simpler code with the diffcoeff package. The order of differentiation is automatically computed — I suppose k+l is k_1+k_2+l:

documentclass{article}

usepackage{mathtools, diffcoeff}

DeclarePairedDelimiterabs{lvert}{rvert}



begin{document}



[

abs*{diffp[k_1,k_2,l]{u_0}

           {x_1, x_2, t}} leq C

]



end{document} 

share|improve this answer

answered 1 hour ago

BernardBernard

170k775202

documentclass{article}

usepackage{mathtools, diffcoeff}

DeclarePairedDelimiterabs{lvert}{rvert}



begin{document}



[

abs*{diffp[k_1,k_2,l]{u_0}

           {x_1, x_2, t}} leq C

]



end{document} 

share|improve this answer

answered 1 hour ago

BernardBernard

170k775202

answered 1 hour ago

BernardBernard

170k775202

answered 1 hour ago

BernardBernard

170k775202

3

You could write

[leftlvertfrac{partial^{k+l}u_0}

{{partial x_1}^{k_1}{partial x_2}^{k_2}partial t^l}rightrvert

leq C]

share|improve this answer

edited 1 hour ago

Sigur

25.3k356139

answered 1 hour ago

José Carlos SantosJosé Carlos Santos

7931217

add a comment | 

3

You could write

[leftlvertfrac{partial^{k+l}u_0}

{{partial x_1}^{k_1}{partial x_2}^{k_2}partial t^l}rightrvert

leq C]

share|improve this answer

edited 1 hour ago

Sigur

25.3k356139

answered 1 hour ago

José Carlos SantosJosé Carlos Santos

7931217

add a comment | 

You could write

[leftlvertfrac{partial^{k+l}u_0}

{{partial x_1}^{k_1}{partial x_2}^{k_2}partial t^l}rightrvert

leq C]

share|improve this answer

edited 1 hour ago

Sigur

25.3k356139

answered 1 hour ago

José Carlos SantosJosé Carlos Santos

7931217

[leftlvertfrac{partial^{k+l}u_0}

{{partial x_1}^{k_1}{partial x_2}^{k_2}partial t^l}rightrvert

leq C]

share|improve this answer

edited 1 hour ago

Sigur

25.3k356139

answered 1 hour ago

José Carlos SantosJosé Carlos Santos

7931217

edited 1 hour ago

Sigur

25.3k356139

edited 1 hour ago

Sigur

25.3k356139

answered 1 hour ago

José Carlos SantosJosé Carlos Santos

7931217

answered 1 hour ago

José Carlos SantosJosé Carlos Santos

7931217

2

documentclass{article}



begin{document}

$ left | frac{partial^{k+1}u_0}{{partial x_1}^{k_1} {partial x_2}^{k_2} partial t^l} right | leq C $

end{document}

share|improve this answer

edited 1 hour ago

answered 1 hour ago

Sina AhmadiSina Ahmadi

65538

add a comment | 

2

documentclass{article}



begin{document}

$ left | frac{partial^{k+1}u_0}{{partial x_1}^{k_1} {partial x_2}^{k_2} partial t^l} right | leq C $

end{document}

share|improve this answer

edited 1 hour ago

answered 1 hour ago

Sina AhmadiSina Ahmadi

65538

add a comment | 

documentclass{article}



begin{document}

$ left | frac{partial^{k+1}u_0}{{partial x_1}^{k_1} {partial x_2}^{k_2} partial t^l} right | leq C $

end{document}

share|improve this answer

edited 1 hour ago

answered 1 hour ago

Sina AhmadiSina Ahmadi

65538

documentclass{article}



begin{document}

$ left | frac{partial^{k+1}u_0}{{partial x_1}^{k_1} {partial x_2}^{k_2} partial t^l} right | leq C $

end{document}

share|improve this answer

edited 1 hour ago

answered 1 hour ago

Sina AhmadiSina Ahmadi

65538

answered 1 hour ago

Sina AhmadiSina Ahmadi

65538

answered 1 hour ago

Sina AhmadiSina Ahmadi

65538

2

one more variation ...

documentclass{article}

usepackage{mathtools}

DeclarePairedDelimiterabs{lvert}{rvert}



begin{document}

[

abs*{frac{partial^{k+l}u_0}

           {partial x_1^{k_1}partial x_2^{k_2}partial t^l}} leq C

]

end{document}

share|improve this answer

answered 1 hour ago

ZarkoZarko

125k867164

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  How did you produce the frame around the image?
  
  – Sigur
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Sigur, it is not part of latex code, but drawn by Snipping Tool, which i use for copping image from pdf previewer to site. in it i select option Show Ink selection ...
  
  – Zarko
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Ah, OK. I use Shutter. Maybe there is such frame option there.
  
  – Sigur
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thanks to you I've just created a plugin for Shutter to add 1px solid blue frame around the image. Now I need to know how to run it automatically when screen shot is created.
  
  – Sigur
  33 mins ago
  

  
  
  
  

add a comment | 

2

one more variation ...

documentclass{article}

usepackage{mathtools}

DeclarePairedDelimiterabs{lvert}{rvert}



begin{document}

[

abs*{frac{partial^{k+l}u_0}

           {partial x_1^{k_1}partial x_2^{k_2}partial t^l}} leq C

]

end{document}

share|improve this answer

answered 1 hour ago

ZarkoZarko

125k867164

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  How did you produce the frame around the image?
  
  – Sigur
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Sigur, it is not part of latex code, but drawn by Snipping Tool, which i use for copping image from pdf previewer to site. in it i select option Show Ink selection ...
  
  – Zarko
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Ah, OK. I use Shutter. Maybe there is such frame option there.
  
  – Sigur
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thanks to you I've just created a plugin for Shutter to add 1px solid blue frame around the image. Now I need to know how to run it automatically when screen shot is created.
  
  – Sigur
  33 mins ago
  

  
  
  
  

add a comment | 

one more variation ...

documentclass{article}

usepackage{mathtools}

DeclarePairedDelimiterabs{lvert}{rvert}



begin{document}

[

abs*{frac{partial^{k+l}u_0}

           {partial x_1^{k_1}partial x_2^{k_2}partial t^l}} leq C

]

end{document}

share|improve this answer

answered 1 hour ago

ZarkoZarko

125k867164

documentclass{article}

usepackage{mathtools}

DeclarePairedDelimiterabs{lvert}{rvert}



begin{document}

[

abs*{frac{partial^{k+l}u_0}

           {partial x_1^{k_1}partial x_2^{k_2}partial t^l}} leq C

]

end{document}

share|improve this answer

answered 1 hour ago

ZarkoZarko

125k867164

answered 1 hour ago

ZarkoZarko

125k867164

answered 1 hour ago

ZarkoZarko

125k867164

2

Like this?

documentclass{report}

usepackage{amsmath}



begin{document}

[ Bigglvert 

   frac{partial^{k+l}u_0}

        {partial^{k_1}{x_1}, 

         partial^{k_2}{x_2}, 

         partial^{l}{t}} 

   Biggrvert leq C, 

]

end{document}

share|improve this answer

edited 1 hour ago

answered 1 hour ago

SigurSigur

25.3k356139

add a comment | 

2

Like this?

documentclass{report}

usepackage{amsmath}



begin{document}

[ Bigglvert 

   frac{partial^{k+l}u_0}

        {partial^{k_1}{x_1}, 

         partial^{k_2}{x_2}, 

         partial^{l}{t}} 

   Biggrvert leq C, 

]

end{document}

share|improve this answer

edited 1 hour ago

answered 1 hour ago

SigurSigur

25.3k356139

add a comment | 

Like this?

documentclass{report}

usepackage{amsmath}



begin{document}

[ Bigglvert 

   frac{partial^{k+l}u_0}

        {partial^{k_1}{x_1}, 

         partial^{k_2}{x_2}, 

         partial^{l}{t}} 

   Biggrvert leq C, 

]

end{document}

share|improve this answer

edited 1 hour ago

answered 1 hour ago

SigurSigur

25.3k356139

documentclass{report}

usepackage{amsmath}



begin{document}

[ Bigglvert 

   frac{partial^{k+l}u_0}

        {partial^{k_1}{x_1}, 

         partial^{k_2}{x_2}, 

         partial^{l}{t}} 

   Biggrvert leq C, 

]

end{document}

share|improve this answer

edited 1 hour ago

answered 1 hour ago

SigurSigur

25.3k356139

answered 1 hour ago

SigurSigur

25.3k356139

answered 1 hour ago

SigurSigur

25.3k356139