The name of something close to a derivative
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I have a sample set of data similar to the the one depicted in following picture
frequency response
I have taken the rate of change for each point in the data set as show below.
(1) $quad (f_2-f_1)/(t_2-t_1) = df/dt$
What I am actually after is the rate of change of each point relative to the first point $(t_0=0).$
(2) $quad (f_2-f_0)/(t_2-t_0)$
My problem is that when I plot the second dataset (2) I dont know what to call it . The first equation (1) is a derivative of the dataset but I dont know what the second one (2) should be called.
calculus derivatives
edited Dec 1 '18 at 12:10
user376343
3,2982825
asked Dec 1 '18 at 7:23
viciouskinidviciouskinid
61
$endgroup$
add a comment |
$begingroup$
I have a sample set of data similar to the the one depicted in following picture
frequency response
I have taken the rate of change for each point in the data set as show below.
(1) $quad (f_2-f_1)/(t_2-t_1) = df/dt$
What I am actually after is the rate of change of each point relative to the first point $(t_0=0).$
(2) $quad (f_2-f_0)/(t_2-t_0)$
My problem is that when I plot the second dataset (2) I dont know what to call it . The first equation (1) is a derivative of the dataset but I dont know what the second one (2) should be called.
calculus derivatives
edited Dec 1 '18 at 12:10
user376343
3,2982825
asked Dec 1 '18 at 7:23
viciouskinidviciouskinid
61
$endgroup$
$begingroup$
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
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– José Carlos Santos
Dec 1 '18 at 7:29
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@viciouskinid The derivative is the limit of this rate, not the rate itself. In both (1) and (2) you would obtain the same limit (if it exists).
$endgroup$
– user376343
Dec 1 '18 at 12:15
add a comment |
$begingroup$
I have a sample set of data similar to the the one depicted in following picture
frequency response
I have taken the rate of change for each point in the data set as show below.
(1) $quad (f_2-f_1)/(t_2-t_1) = df/dt$
What I am actually after is the rate of change of each point relative to the first point $(t_0=0).$
(2) $quad (f_2-f_0)/(t_2-t_0)$
My problem is that when I plot the second dataset (2) I dont know what to call it . The first equation (1) is a derivative of the dataset but I dont know what the second one (2) should be called.
calculus derivatives
edited Dec 1 '18 at 12:10
user376343
3,2982825
asked Dec 1 '18 at 7:23
viciouskinidviciouskinid
61
$endgroup$
I have a sample set of data similar to the the one depicted in following picture
frequency response
I have taken the rate of change for each point in the data set as show below.
(1) $quad (f_2-f_1)/(t_2-t_1) = df/dt$
What I am actually after is the rate of change of each point relative to the first point $(t_0=0).$
(2) $quad (f_2-f_0)/(t_2-t_0)$
My problem is that when I plot the second dataset (2) I dont know what to call it . The first equation (1) is a derivative of the dataset but I dont know what the second one (2) should be called.
calculus derivatives
calculus derivatives
edited Dec 1 '18 at 12:10
user376343
3,2982825
asked Dec 1 '18 at 7:23
viciouskinidviciouskinid
61
edited Dec 1 '18 at 12:10
user376343
3,2982825
asked Dec 1 '18 at 7:23
viciouskinidviciouskinid
61
edited Dec 1 '18 at 12:10
user376343
3,2982825
edited Dec 1 '18 at 12:10
user376343
3,2982825
edited Dec 1 '18 at 12:10
user376343
3,2982825
3,2982825
asked Dec 1 '18 at 7:23
viciouskinidviciouskinid
61
asked Dec 1 '18 at 7:23
viciouskinidviciouskinid
61
asked Dec 1 '18 at 7:23
viciouskinidviciouskinid
61
61
$begingroup$
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
$endgroup$
– José Carlos Santos
Dec 1 '18 at 7:29
$begingroup$
@viciouskinid The derivative is the limit of this rate, not the rate itself. In both (1) and (2) you would obtain the same limit (if it exists).
$endgroup$
– user376343
Dec 1 '18 at 12:15
add a comment |
$begingroup$
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
$endgroup$
– José Carlos Santos
Dec 1 '18 at 7:29
$begingroup$
@viciouskinid The derivative is the limit of this rate, not the rate itself. In both (1) and (2) you would obtain the same limit (if it exists).
$endgroup$
– user376343
Dec 1 '18 at 12:15
$begingroup$
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
$endgroup$
– José Carlos Santos
Dec 1 '18 at 7:29
$begingroup$
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
$endgroup$
– José Carlos Santos
Dec 1 '18 at 7:29
$begingroup$
@viciouskinid The derivative is the limit of this rate, not the rate itself. In both (1) and (2) you would obtain the same limit (if it exists).
$endgroup$
– user376343
Dec 1 '18 at 12:15
$begingroup$
@viciouskinid The derivative is the limit of this rate, not the rate itself. In both (1) and (2) you would obtain the same limit (if it exists).
$endgroup$
– user376343
Dec 1 '18 at 12:15
add a comment |
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Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
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– José Carlos Santos
Dec 1 '18 at 7:29
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@viciouskinid The derivative is the limit of this rate, not the rate itself. In both (1) and (2) you would obtain the same limit (if it exists).
$endgroup$
– user376343
Dec 1 '18 at 12:15