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pgfplots: How to draw a tangent graph below two others?



The Next CEO of Stack Overflowplotting two time series with boundsGrouped bar chartHow do i get the x axis on top but keep a line on the bottomHow to prevent rounded and duplicated tick labels in pgfplots with fixed precision?How to hide empty (value 0) ybars with pgfplots?Show mark labels near marks and not centered in ybar interaval graphDrawing rectilinear curves in Tikz, aka an Etch-a-Sketch drawingpgfplots: percentage in matrix plotHow to draw a square and its diagonals with arrows?PGFPlots - Fill area between two curves










5















Assumed I want to draw three simple graphs based on the following illustration:



Screenshot of the desired state




How can I plot those three graphs? I've tried to create something like this:



Minimum Working Example (MWE):



documentclassstandalone
usepackagepgfplots

begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
endaxis
endtikzpicture
enddocument



Screenshot of the current state:



Screenshot of the current state




Description of the issue:



However, I don't get the point on how to figure out the function of the third graph as well as how to clip the graphs in x and y direction to align them centered in the plot. It is not necessary to be completely precise, the accuracy of my upper template will be fine enough.



How to do that?










share|improve this question
























  • Well, and the formula of the third graph is? Please explain your issue better ...

    – Kurt
    2 hours ago







  • 2





    @close-voter: Please explain in a comment your reason for voting to close!

    – Kurt
    2 hours ago











  • I accept the Kurt's comment.

    – Sebastiano
    2 hours ago















5















Assumed I want to draw three simple graphs based on the following illustration:



Screenshot of the desired state




How can I plot those three graphs? I've tried to create something like this:



Minimum Working Example (MWE):



documentclassstandalone
usepackagepgfplots

begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
endaxis
endtikzpicture
enddocument



Screenshot of the current state:



Screenshot of the current state




Description of the issue:



However, I don't get the point on how to figure out the function of the third graph as well as how to clip the graphs in x and y direction to align them centered in the plot. It is not necessary to be completely precise, the accuracy of my upper template will be fine enough.



How to do that?










share|improve this question
























  • Well, and the formula of the third graph is? Please explain your issue better ...

    – Kurt
    2 hours ago







  • 2





    @close-voter: Please explain in a comment your reason for voting to close!

    – Kurt
    2 hours ago











  • I accept the Kurt's comment.

    – Sebastiano
    2 hours ago













5












5








5








Assumed I want to draw three simple graphs based on the following illustration:



Screenshot of the desired state




How can I plot those three graphs? I've tried to create something like this:



Minimum Working Example (MWE):



documentclassstandalone
usepackagepgfplots

begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
endaxis
endtikzpicture
enddocument



Screenshot of the current state:



Screenshot of the current state




Description of the issue:



However, I don't get the point on how to figure out the function of the third graph as well as how to clip the graphs in x and y direction to align them centered in the plot. It is not necessary to be completely precise, the accuracy of my upper template will be fine enough.



How to do that?










share|improve this question
















Assumed I want to draw three simple graphs based on the following illustration:



Screenshot of the desired state




How can I plot those three graphs? I've tried to create something like this:



Minimum Working Example (MWE):



documentclassstandalone
usepackagepgfplots

begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
endaxis
endtikzpicture
enddocument



Screenshot of the current state:



Screenshot of the current state




Description of the issue:



However, I don't get the point on how to figure out the function of the third graph as well as how to clip the graphs in x and y direction to align them centered in the plot. It is not necessary to be completely precise, the accuracy of my upper template will be fine enough.



How to do that?







tikz-pgf pgfplots plot graphs polynomials






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 3 hours ago







Dave

















asked 3 hours ago









DaveDave

1,128619




1,128619












  • Well, and the formula of the third graph is? Please explain your issue better ...

    – Kurt
    2 hours ago







  • 2





    @close-voter: Please explain in a comment your reason for voting to close!

    – Kurt
    2 hours ago











  • I accept the Kurt's comment.

    – Sebastiano
    2 hours ago

















  • Well, and the formula of the third graph is? Please explain your issue better ...

    – Kurt
    2 hours ago







  • 2





    @close-voter: Please explain in a comment your reason for voting to close!

    – Kurt
    2 hours ago











  • I accept the Kurt's comment.

    – Sebastiano
    2 hours ago
















Well, and the formula of the third graph is? Please explain your issue better ...

– Kurt
2 hours ago






Well, and the formula of the third graph is? Please explain your issue better ...

– Kurt
2 hours ago





2




2





@close-voter: Please explain in a comment your reason for voting to close!

– Kurt
2 hours ago





@close-voter: Please explain in a comment your reason for voting to close!

– Kurt
2 hours ago













I accept the Kurt's comment.

– Sebastiano
2 hours ago





I accept the Kurt's comment.

– Sebastiano
2 hours ago










2 Answers
2






active

oldest

votes


















5














You can use the function f1*f2/(f1+f2) to get something like what you describe. To make the code a bit clearer I defined the functions f1 and f2.



documentclassstandalone
usepackagepgfplots
pgfplotsset%
compat=1.12,
/pgf/declare function=f1(x)=exp(3*x);,
/pgf/declare function=f2(x)=-exp(3*x)+20;,

begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] f1(x);
addplot+[no marks, samples=100] f2(x);
addplot+[no marks, samples=100] f1(x)*f2(x)/(f1(x)+f2(x));
endaxis
endtikzpicture
enddocument


enter image description here



If you want the function to follow more closely you can use sqrt(f1^2*f2^2/(f1^2+f2^2). Then replace the third plot with



addplot+[no marks, samples=100] sqrt(f1(x)*f1(x)*f2(x)*f2(x)/(f1(x)*f1(x)+f2(x)*f2(x)));


to get



enter image description here






share|improve this answer























  • The lower one looks perfect, thank you very much!!

    – Dave
    1 hour ago


















4














Are you looking for the minimum? (I shifted the plot a bit but you can of course undo the shift.)



documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
addplot+[no marks, samples=6,smooth]
min(exp(3*x),(-exp(3*x)+20))-pi/2;
endaxis
endtikzpicture
enddocument


enter image description here






share|improve this answer























  • Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?

    – Dave
    1 hour ago












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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes









5














You can use the function f1*f2/(f1+f2) to get something like what you describe. To make the code a bit clearer I defined the functions f1 and f2.



documentclassstandalone
usepackagepgfplots
pgfplotsset%
compat=1.12,
/pgf/declare function=f1(x)=exp(3*x);,
/pgf/declare function=f2(x)=-exp(3*x)+20;,

begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] f1(x);
addplot+[no marks, samples=100] f2(x);
addplot+[no marks, samples=100] f1(x)*f2(x)/(f1(x)+f2(x));
endaxis
endtikzpicture
enddocument


enter image description here



If you want the function to follow more closely you can use sqrt(f1^2*f2^2/(f1^2+f2^2). Then replace the third plot with



addplot+[no marks, samples=100] sqrt(f1(x)*f1(x)*f2(x)*f2(x)/(f1(x)*f1(x)+f2(x)*f2(x)));


to get



enter image description here






share|improve this answer























  • The lower one looks perfect, thank you very much!!

    – Dave
    1 hour ago















5














You can use the function f1*f2/(f1+f2) to get something like what you describe. To make the code a bit clearer I defined the functions f1 and f2.



documentclassstandalone
usepackagepgfplots
pgfplotsset%
compat=1.12,
/pgf/declare function=f1(x)=exp(3*x);,
/pgf/declare function=f2(x)=-exp(3*x)+20;,

begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] f1(x);
addplot+[no marks, samples=100] f2(x);
addplot+[no marks, samples=100] f1(x)*f2(x)/(f1(x)+f2(x));
endaxis
endtikzpicture
enddocument


enter image description here



If you want the function to follow more closely you can use sqrt(f1^2*f2^2/(f1^2+f2^2). Then replace the third plot with



addplot+[no marks, samples=100] sqrt(f1(x)*f1(x)*f2(x)*f2(x)/(f1(x)*f1(x)+f2(x)*f2(x)));


to get



enter image description here






share|improve this answer























  • The lower one looks perfect, thank you very much!!

    – Dave
    1 hour ago













5












5








5







You can use the function f1*f2/(f1+f2) to get something like what you describe. To make the code a bit clearer I defined the functions f1 and f2.



documentclassstandalone
usepackagepgfplots
pgfplotsset%
compat=1.12,
/pgf/declare function=f1(x)=exp(3*x);,
/pgf/declare function=f2(x)=-exp(3*x)+20;,

begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] f1(x);
addplot+[no marks, samples=100] f2(x);
addplot+[no marks, samples=100] f1(x)*f2(x)/(f1(x)+f2(x));
endaxis
endtikzpicture
enddocument


enter image description here



If you want the function to follow more closely you can use sqrt(f1^2*f2^2/(f1^2+f2^2). Then replace the third plot with



addplot+[no marks, samples=100] sqrt(f1(x)*f1(x)*f2(x)*f2(x)/(f1(x)*f1(x)+f2(x)*f2(x)));


to get



enter image description here






share|improve this answer













You can use the function f1*f2/(f1+f2) to get something like what you describe. To make the code a bit clearer I defined the functions f1 and f2.



documentclassstandalone
usepackagepgfplots
pgfplotsset%
compat=1.12,
/pgf/declare function=f1(x)=exp(3*x);,
/pgf/declare function=f2(x)=-exp(3*x)+20;,

begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] f1(x);
addplot+[no marks, samples=100] f2(x);
addplot+[no marks, samples=100] f1(x)*f2(x)/(f1(x)+f2(x));
endaxis
endtikzpicture
enddocument


enter image description here



If you want the function to follow more closely you can use sqrt(f1^2*f2^2/(f1^2+f2^2). Then replace the third plot with



addplot+[no marks, samples=100] sqrt(f1(x)*f1(x)*f2(x)*f2(x)/(f1(x)*f1(x)+f2(x)*f2(x)));


to get



enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered 2 hours ago









StefanHStefanH

10.8k1820




10.8k1820












  • The lower one looks perfect, thank you very much!!

    – Dave
    1 hour ago

















  • The lower one looks perfect, thank you very much!!

    – Dave
    1 hour ago
















The lower one looks perfect, thank you very much!!

– Dave
1 hour ago





The lower one looks perfect, thank you very much!!

– Dave
1 hour ago











4














Are you looking for the minimum? (I shifted the plot a bit but you can of course undo the shift.)



documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
addplot+[no marks, samples=6,smooth]
min(exp(3*x),(-exp(3*x)+20))-pi/2;
endaxis
endtikzpicture
enddocument


enter image description here






share|improve this answer























  • Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?

    – Dave
    1 hour ago
















4














Are you looking for the minimum? (I shifted the plot a bit but you can of course undo the shift.)



documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
addplot+[no marks, samples=6,smooth]
min(exp(3*x),(-exp(3*x)+20))-pi/2;
endaxis
endtikzpicture
enddocument


enter image description here






share|improve this answer























  • Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?

    – Dave
    1 hour ago














4












4








4







Are you looking for the minimum? (I shifted the plot a bit but you can of course undo the shift.)



documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
addplot+[no marks, samples=6,smooth]
min(exp(3*x),(-exp(3*x)+20))-pi/2;
endaxis
endtikzpicture
enddocument


enter image description here






share|improve this answer













Are you looking for the minimum? (I shifted the plot a bit but you can of course undo the shift.)



documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture
beginaxis[domain=0:1]
addplot+[no marks, samples=100] exp(3*x);
addplot+[no marks, samples=100] (-exp(3*x)+20);
addplot+[no marks, samples=6,smooth]
min(exp(3*x),(-exp(3*x)+20))-pi/2;
endaxis
endtikzpicture
enddocument


enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered 2 hours ago









marmotmarmot

113k5145275




113k5145275












  • Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?

    – Dave
    1 hour ago


















  • Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?

    – Dave
    1 hour ago

















Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?

– Dave
1 hour ago






Thank you very much marmot! The user StefanH has also posted a great approach which looks very smooth - I hope you are not disappointed if I choose his option as an answer?

– Dave
1 hour ago


















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