How do I draw a function along with a particular tangent line at a specific point?Is it possible to plot a...
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How do I draw a function along with a particular tangent line at a specific point?
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$begingroup$
I would like to draw a function (x/x^2+1), and at a certain point, i'd like to draw a dot along with the tangent line at that specific point.
what I have tried is the following:
Plot[{function[x], function'[x]}, {x, -5, 5}, AxesLabel -> {x, y} LabelStyle -> Direction[Black, Bold]]
However, this plots the original function f(x) and f'(x) simultaneously; how can I achieve the desired result?
plotting functions
asked 2 hours ago
JaigusJaigus
1403
$endgroup$
add a comment |
$begingroup$
I would like to draw a function (x/x^2+1), and at a certain point, i'd like to draw a dot along with the tangent line at that specific point.
what I have tried is the following:
Plot[{function[x], function'[x]}, {x, -5, 5}, AxesLabel -> {x, y} LabelStyle -> Direction[Black, Bold]]
However, this plots the original function f(x) and f'(x) simultaneously; how can I achieve the desired result?
plotting functions
asked 2 hours ago
JaigusJaigus
1403
$endgroup$
add a comment |
$begingroup$
I would like to draw a function (x/x^2+1), and at a certain point, i'd like to draw a dot along with the tangent line at that specific point.
what I have tried is the following:
Plot[{function[x], function'[x]}, {x, -5, 5}, AxesLabel -> {x, y} LabelStyle -> Direction[Black, Bold]]
However, this plots the original function f(x) and f'(x) simultaneously; how can I achieve the desired result?
plotting functions
asked 2 hours ago
JaigusJaigus
1403
$endgroup$
I would like to draw a function (x/x^2+1), and at a certain point, i'd like to draw a dot along with the tangent line at that specific point.
what I have tried is the following:
Plot[{function[x], function'[x]}, {x, -5, 5}, AxesLabel -> {x, y} LabelStyle -> Direction[Black, Bold]]
However, this plots the original function f(x) and f'(x) simultaneously; how can I achieve the desired result?
plotting functions
plotting functions
asked 2 hours ago
JaigusJaigus
1403
asked 2 hours ago
JaigusJaigus
1403
asked 2 hours ago
JaigusJaigus
1403
asked 2 hours ago
JaigusJaigus
1403
asked 2 hours ago
JaigusJaigus
1403
1403
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
function[x_] := x/(x^2 + 1);
x0 = 1/2;
Plot[{function[x], function[x0] + function'[x0] (x - x0)}, {x, -5, 5},
AxesLabel -> {x, y}, LabelStyle -> Direction[Black, Bold],
Mesh -> {{x0}}, MeshStyle -> Directive[Red, PointSize[Large]]]
answered 2 hours ago
kglrkglr
185k10202421
$endgroup$
$begingroup$
Hey thanks! I'm trying to plot this at point 45, but it doesn't seem to plot the tangent at that point; instead the tangent is on a completely different line with two dots?
$endgroup$
– Jaigus
1 hour ago
$begingroup$
@Jaigus, there was a typo; fixed now.Mesh -> {{1/2}}should beMesh -> {{x0}}.
$endgroup$
– kglr
56 mins ago
$begingroup$
Thanks alot, this works great.
$endgroup$
– Jaigus
43 mins ago
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
function[x_] := x/(x^2 + 1);
x0 = 1/2;
Plot[{function[x], function[x0] + function'[x0] (x - x0)}, {x, -5, 5},
AxesLabel -> {x, y}, LabelStyle -> Direction[Black, Bold],
Mesh -> {{x0}}, MeshStyle -> Directive[Red, PointSize[Large]]]
answered 2 hours ago
kglrkglr
185k10202421
$endgroup$
$begingroup$
Hey thanks! I'm trying to plot this at point 45, but it doesn't seem to plot the tangent at that point; instead the tangent is on a completely different line with two dots?
$endgroup$
– Jaigus
1 hour ago
$begingroup$
@Jaigus, there was a typo; fixed now.Mesh -> {{1/2}}should beMesh -> {{x0}}.
$endgroup$
– kglr
56 mins ago
$begingroup$
Thanks alot, this works great.
$endgroup$
– Jaigus
43 mins ago
add a comment |
$begingroup$
function[x_] := x/(x^2 + 1);
x0 = 1/2;
Plot[{function[x], function[x0] + function'[x0] (x - x0)}, {x, -5, 5},
AxesLabel -> {x, y}, LabelStyle -> Direction[Black, Bold],
Mesh -> {{x0}}, MeshStyle -> Directive[Red, PointSize[Large]]]
answered 2 hours ago
kglrkglr
185k10202421
$endgroup$
$begingroup$
Hey thanks! I'm trying to plot this at point 45, but it doesn't seem to plot the tangent at that point; instead the tangent is on a completely different line with two dots?
$endgroup$
– Jaigus
1 hour ago
$begingroup$
@Jaigus, there was a typo; fixed now.Mesh -> {{1/2}}should beMesh -> {{x0}}.
$endgroup$
– kglr
56 mins ago
$begingroup$
Thanks alot, this works great.
$endgroup$
– Jaigus
43 mins ago
add a comment |
$begingroup$
function[x_] := x/(x^2 + 1);
x0 = 1/2;
Plot[{function[x], function[x0] + function'[x0] (x - x0)}, {x, -5, 5},
AxesLabel -> {x, y}, LabelStyle -> Direction[Black, Bold],
Mesh -> {{x0}}, MeshStyle -> Directive[Red, PointSize[Large]]]
answered 2 hours ago
kglrkglr
185k10202421
$endgroup$
function[x_] := x/(x^2 + 1);
x0 = 1/2;
Plot[{function[x], function[x0] + function'[x0] (x - x0)}, {x, -5, 5},
AxesLabel -> {x, y}, LabelStyle -> Direction[Black, Bold],
Mesh -> {{x0}}, MeshStyle -> Directive[Red, PointSize[Large]]]
answered 2 hours ago
kglrkglr
185k10202421
edited 57 mins ago
answered 2 hours ago
kglrkglr
185k10202421
answered 2 hours ago
kglrkglr
185k10202421
answered 2 hours ago
kglrkglr
185k10202421
185k10202421
$begingroup$
Hey thanks! I'm trying to plot this at point 45, but it doesn't seem to plot the tangent at that point; instead the tangent is on a completely different line with two dots?
$endgroup$
– Jaigus
1 hour ago
$begingroup$
@Jaigus, there was a typo; fixed now.Mesh -> {{1/2}}should beMesh -> {{x0}}.
$endgroup$
– kglr
56 mins ago
$begingroup$
Thanks alot, this works great.
$endgroup$
– Jaigus
43 mins ago
add a comment |
$begingroup$
Hey thanks! I'm trying to plot this at point 45, but it doesn't seem to plot the tangent at that point; instead the tangent is on a completely different line with two dots?
$endgroup$
– Jaigus
1 hour ago
$begingroup$
@Jaigus, there was a typo; fixed now.Mesh -> {{1/2}}should beMesh -> {{x0}}.
$endgroup$
– kglr
56 mins ago
$begingroup$
Thanks alot, this works great.
$endgroup$
– Jaigus
43 mins ago
$begingroup$
Hey thanks! I'm trying to plot this at point 45, but it doesn't seem to plot the tangent at that point; instead the tangent is on a completely different line with two dots?
$endgroup$
– Jaigus
1 hour ago
$begingroup$
Hey thanks! I'm trying to plot this at point 45, but it doesn't seem to plot the tangent at that point; instead the tangent is on a completely different line with two dots?
$endgroup$
– Jaigus
1 hour ago
$begingroup$
@Jaigus, there was a typo; fixed now.
Mesh -> {{1/2}} should be Mesh -> {{x0}}.$endgroup$
– kglr
56 mins ago
$begingroup$
@Jaigus, there was a typo; fixed now.
Mesh -> {{1/2}} should be Mesh -> {{x0}}.$endgroup$
– kglr
56 mins ago
$begingroup$
Thanks alot, this works great.
$endgroup$
– Jaigus
43 mins ago
$begingroup$
Thanks alot, this works great.
$endgroup$
– Jaigus
43 mins ago
add a comment |
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