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Drawing a sigmoid function and its derivative in tikz
Rotate a node but not its content: the case of the ellipse decorationTiKZ drawing routine or functionDrawing function in tikzHow to prevent rounded and duplicated tick labels in pgfplots with fixed precision?Graph of Derivative functionTikz drawing with functionHow to plot a function and its derivativepgfplots: modify axis after end axis / cut tikzpicture after drawingDrawing a function without knowing its definitionHow to properly arrange group plot for bar chart using pgfplot?
I created a graph of the sigmoid function using the following tikz code:
documentclassminimal
usepackagetikz,pgfplots
begindocument
begintikzpicture
beginaxis%
[
grid=major,
xmin=-6,
xmax=6,
axis x line=bottom,
ytick=0,.5,1,
ymax=1,
axis y line=middle,
]
addplot%
[
blue,%
mark=none,
samples=100,
domain=-6:6,
]
(x,1/(1+exp(-x)));
endaxis
endtikzpicture
enddocument
Is it possible to add the derivative of the sigmoid function to the graph using a red dotted line, including a legend in the topright corner for both lines without leaving the tikz environment?
Sigmoid function: σ = 1/(1+exp(-x))
Derivative: σ(x)(1−σ(x)
tikz-pgf
asked 8 hours ago
bjornvandijkmanbjornvandijkman
205 bronze badges
New contributor
bjornvandijkman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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add a comment |
I created a graph of the sigmoid function using the following tikz code:
documentclassminimal
usepackagetikz,pgfplots
begindocument
begintikzpicture
beginaxis%
[
grid=major,
xmin=-6,
xmax=6,
axis x line=bottom,
ytick=0,.5,1,
ymax=1,
axis y line=middle,
]
addplot%
[
blue,%
mark=none,
samples=100,
domain=-6:6,
]
(x,1/(1+exp(-x)));
endaxis
endtikzpicture
enddocument
Is it possible to add the derivative of the sigmoid function to the graph using a red dotted line, including a legend in the topright corner for both lines without leaving the tikz environment?
Sigmoid function: σ = 1/(1+exp(-x))
Derivative: σ(x)(1−σ(x)
tikz-pgf
asked 8 hours ago
bjornvandijkmanbjornvandijkman
205 bronze badges
New contributor
bjornvandijkman 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 created a graph of the sigmoid function using the following tikz code:
documentclassminimal
usepackagetikz,pgfplots
begindocument
begintikzpicture
beginaxis%
[
grid=major,
xmin=-6,
xmax=6,
axis x line=bottom,
ytick=0,.5,1,
ymax=1,
axis y line=middle,
]
addplot%
[
blue,%
mark=none,
samples=100,
domain=-6:6,
]
(x,1/(1+exp(-x)));
endaxis
endtikzpicture
enddocument
Is it possible to add the derivative of the sigmoid function to the graph using a red dotted line, including a legend in the topright corner for both lines without leaving the tikz environment?
Sigmoid function: σ = 1/(1+exp(-x))
Derivative: σ(x)(1−σ(x)
tikz-pgf
asked 8 hours ago
bjornvandijkmanbjornvandijkman
205 bronze badges
New contributor
bjornvandijkman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I created a graph of the sigmoid function using the following tikz code:
documentclassminimal
usepackagetikz,pgfplots
begindocument
begintikzpicture
beginaxis%
[
grid=major,
xmin=-6,
xmax=6,
axis x line=bottom,
ytick=0,.5,1,
ymax=1,
axis y line=middle,
]
addplot%
[
blue,%
mark=none,
samples=100,
domain=-6:6,
]
(x,1/(1+exp(-x)));
endaxis
endtikzpicture
enddocument
Is it possible to add the derivative of the sigmoid function to the graph using a red dotted line, including a legend in the topright corner for both lines without leaving the tikz environment?
Sigmoid function: σ = 1/(1+exp(-x))
Derivative: σ(x)(1−σ(x)
tikz-pgf
tikz-pgf
asked 8 hours ago
bjornvandijkmanbjornvandijkman
205 bronze badges
New contributor
bjornvandijkman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 8 hours ago
bjornvandijkmanbjornvandijkman
205 bronze badges
New contributor
bjornvandijkman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 8 hours ago
bjornvandijkman
asked 8 hours ago
bjornvandijkmanbjornvandijkman
205 bronze badges
New contributor
bjornvandijkman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 8 hours ago
bjornvandijkmanbjornvandijkman
205 bronze badges
asked 8 hours ago
bjornvandijkmanbjornvandijkman
205 bronze badges
205 bronze badges
New contributor
bjornvandijkman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
bjornvandijkman 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 |
add a comment |
1 Answer
1
active
oldest
votes
The arguably most convenient way is to declare functions with the declare function key, and plot them.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[declare function=sigma(x)=1/(1+exp(-x));
sigmap(x)=sigma(x)*(1-sigma(x));]
beginaxis%
[
grid=major,
xmin=-6,
xmax=6,
axis x line=bottom,
ytick=0,.5,1,
ymax=1,
axis y line=middle,
samples=100,
domain=-6:6,
legend style=at=(1,0.9)
]
addplot[blue,mark=none] (x,sigma(x));
addplot[red,dotted,mark=none] (x,sigmap(x));
legend$sigma(x)$,$sigma'(x)$
endaxis
endtikzpicture
enddocument
answered 7 hours ago
marmotmarmot
140k6 gold badges184 silver badges338 bronze badges
Perfect, thanks!
– bjornvandijkman
7 hours ago
@bjornvandijkman You're welcome! You do not necessarily need to do a parametric plot here,addplot[blue,mark=none] sigma(x);will also work.
– marmot
6 hours ago
add a comment |
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1 Answer
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active
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votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
The arguably most convenient way is to declare functions with the declare function key, and plot them.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[declare function=sigma(x)=1/(1+exp(-x));
sigmap(x)=sigma(x)*(1-sigma(x));]
beginaxis%
[
grid=major,
xmin=-6,
xmax=6,
axis x line=bottom,
ytick=0,.5,1,
ymax=1,
axis y line=middle,
samples=100,
domain=-6:6,
legend style=at=(1,0.9)
]
addplot[blue,mark=none] (x,sigma(x));
addplot[red,dotted,mark=none] (x,sigmap(x));
legend$sigma(x)$,$sigma'(x)$
endaxis
endtikzpicture
enddocument
answered 7 hours ago
marmotmarmot
140k6 gold badges184 silver badges338 bronze badges
Perfect, thanks!
– bjornvandijkman
7 hours ago
@bjornvandijkman You're welcome! You do not necessarily need to do a parametric plot here,addplot[blue,mark=none] sigma(x);will also work.
– marmot
6 hours ago
add a comment |
The arguably most convenient way is to declare functions with the declare function key, and plot them.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[declare function=sigma(x)=1/(1+exp(-x));
sigmap(x)=sigma(x)*(1-sigma(x));]
beginaxis%
[
grid=major,
xmin=-6,
xmax=6,
axis x line=bottom,
ytick=0,.5,1,
ymax=1,
axis y line=middle,
samples=100,
domain=-6:6,
legend style=at=(1,0.9)
]
addplot[blue,mark=none] (x,sigma(x));
addplot[red,dotted,mark=none] (x,sigmap(x));
legend$sigma(x)$,$sigma'(x)$
endaxis
endtikzpicture
enddocument
answered 7 hours ago
marmotmarmot
140k6 gold badges184 silver badges338 bronze badges
Perfect, thanks!
– bjornvandijkman
7 hours ago
@bjornvandijkman You're welcome! You do not necessarily need to do a parametric plot here,addplot[blue,mark=none] sigma(x);will also work.
– marmot
6 hours ago
add a comment |
The arguably most convenient way is to declare functions with the declare function key, and plot them.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[declare function=sigma(x)=1/(1+exp(-x));
sigmap(x)=sigma(x)*(1-sigma(x));]
beginaxis%
[
grid=major,
xmin=-6,
xmax=6,
axis x line=bottom,
ytick=0,.5,1,
ymax=1,
axis y line=middle,
samples=100,
domain=-6:6,
legend style=at=(1,0.9)
]
addplot[blue,mark=none] (x,sigma(x));
addplot[red,dotted,mark=none] (x,sigmap(x));
legend$sigma(x)$,$sigma'(x)$
endaxis
endtikzpicture
enddocument
answered 7 hours ago
marmotmarmot
140k6 gold badges184 silver badges338 bronze badges
The arguably most convenient way is to declare functions with the declare function key, and plot them.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[declare function=sigma(x)=1/(1+exp(-x));
sigmap(x)=sigma(x)*(1-sigma(x));]
beginaxis%
[
grid=major,
xmin=-6,
xmax=6,
axis x line=bottom,
ytick=0,.5,1,
ymax=1,
axis y line=middle,
samples=100,
domain=-6:6,
legend style=at=(1,0.9)
]
addplot[blue,mark=none] (x,sigma(x));
addplot[red,dotted,mark=none] (x,sigmap(x));
legend$sigma(x)$,$sigma'(x)$
endaxis
endtikzpicture
enddocument
answered 7 hours ago
marmotmarmot
140k6 gold badges184 silver badges338 bronze badges
answered 7 hours ago
marmotmarmot
140k6 gold badges184 silver badges338 bronze badges
answered 7 hours ago
marmotmarmot
140k6 gold badges184 silver badges338 bronze badges
answered 7 hours ago
marmotmarmot
140k6 gold badges184 silver badges338 bronze badges
140k6 gold badges184 silver badges338 bronze badges
Perfect, thanks!
– bjornvandijkman
7 hours ago
@bjornvandijkman You're welcome! You do not necessarily need to do a parametric plot here,addplot[blue,mark=none] sigma(x);will also work.
– marmot
6 hours ago
add a comment |
Perfect, thanks!
– bjornvandijkman
7 hours ago
@bjornvandijkman You're welcome! You do not necessarily need to do a parametric plot here,addplot[blue,mark=none] sigma(x);will also work.
– marmot
6 hours ago
Perfect, thanks!
– bjornvandijkman
7 hours ago
Perfect, thanks!
– bjornvandijkman
7 hours ago
@bjornvandijkman You're welcome! You do not necessarily need to do a parametric plot here,
addplot[blue,mark=none] sigma(x); will also work.– marmot
6 hours ago
@bjornvandijkman You're welcome! You do not necessarily need to do a parametric plot here,
addplot[blue,mark=none] sigma(x); will also work.– marmot
6 hours ago
add a comment |
bjornvandijkman is a new contributor. Be nice, and check out our Code of Conduct.
bjornvandijkman is a new contributor. Be nice, and check out our Code of Conduct.
bjornvandijkman is a new contributor. Be nice, and check out our Code of Conduct.
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