The name of something close to a derivative












1












$begingroup$


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.










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  • $begingroup$
    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


















1












$begingroup$


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.










share|cite|improve this question











$endgroup$












  • $begingroup$
    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.
    $endgroup$
    – 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
















1












1








1





$begingroup$


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.










share|cite|improve this question











$endgroup$




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






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share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 1 '18 at 12:10









user376343

3,7883827




3,7883827










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




















  • $begingroup$
    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












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