Imagine I have a set of data, the plot is as following(just as an example consider a Gaussian curve):
Is there any way to obtain the slop of this curve slop and plotted just using the initial data.
Thank alot
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$\begingroup$ Do you have some example data? $\endgroup$ – Coolwater Jan 10 '18 at 15:39
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$\begingroup$ And explain please, what is "the first plot in Mathematica"? $\endgroup$ – Alexei Boulbitch Jan 10 '18 at 15:46
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$\begingroup$ @ Alexei Boulbitch I added an example, also by first data I meant the data I plotted the curve. $\endgroup$ – kmsin Jan 10 '18 at 15:54
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$\begingroup$ @Coolwater I added an example. $\endgroup$ – kmsin Jan 10 '18 at 15:54
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$\begingroup$ I want to plot the slop of this curve with his own data, is it possible? $\endgroup$ – kmsin Jan 10 '18 at 17:03
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If you want to do it numerically with a dataset, say data
data = Table[{x, Exp[-x^2]}, {x, -5, 5, 0.1}];
you can go like this
ndata = Length[data];
slope = Table[{(data[[i, 1]] + data[[i - 1, 1]])/2,
(data[[i, 2]] - data[[i - 1, 2]])/(data[[i, 1]] - data[[i - 1, 1]]) },
{i, 2, ndata}];
ListLinePlot[{data, slope}, PlotRange -> All]
Or you can go with Interpolation
f[x_] = Interpolation[data][x]; (*function for data*)
f1[x_] = D[f[x], x]; (*function for derivative*)
Plot[{f[x], f1[x]}, {x, -5, 5}]
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$\begingroup$ Thanks, I was looking for something the same as the second part of your answer $\endgroup$ – kmsin Jan 10 '18 at 19:11
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$\begingroup$ In case you know any trial function for your data, you can also use
Fit,FindFitorNonlinearModelFitto find a functional form. $\endgroup$ – Sumit Jan 11 '18 at 17:04
