Potentiometric titration by ''mathematica''

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The discussion focuses on using Mathematica for potentiometric titration data analysis, specifically to plot the original data and its derivatives. The user has created a dataset and successfully plotted it but encounters issues with the fit near the endpoint. They express a desire for a more efficient method to plot the first and second derivatives without manually calculating each point. Suggestions include using denser data points around critical areas for better accuracy. The user also inquires about deleting their post after resolving their initial questions.
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Homework Statement



at first, please look at this link
http://upload.wikimedia.org/wikiped...tiometrics_meas_1st_2nd_deriv-with-legend.JPG

as you know, potentiometric titration's data makes this graph.

and first derivative, 2nd derivative etc..

I haven't tried this experiment yet.
So I'd like to try this by the data which I just make by myself.
this is not my real data.

data = {{0, 1.0}, {2.5, 1.2}, {5.0, 1.3}, {7.5, 1.5}, {10.0,
1.7}, {12.5, 2.0}, {15.0, 7.0}, {17.5, 11.9}, {20.0, 12.1}, {22.5,
12.3}, {25.0, 12.4}, {27.5, 12.5}, {30.0, 12.5}}


Homework Equations


derivatives


The Attempt at a Solution



1. I plotted the data.
ListPlot[data]

2. and I used interpolation.
f=Interpolation[data]

3. I plotted the graph
Plot[f[x], {x, 0, 30}]



there is a problem. If you try this, you would find out, near the end point, it doesn't fit well.
I want the graph just like the link as I mentioned first
(http://upload.wikimedia.org/wikiped...tiometrics_meas_1st_2nd_deriv-with-legend.JPG)





well.. I know that I can draw these graph by my hand by the excel.
just write the data,
plot the graph,
and I find dy/dx one by one
and draw the 1st derivative graph,
and d2y/dx2 one by one..
...


but

as you know,
I think this stupid doing is not good

So I just want to plot the data easily by the mathematica..

is there any way to draw the data easily?
or just I have to plot the graph one by one?

please help me..
 
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Try to use more data points, and make them more dense around the important places.

Not trhat I know it will work, just guessing.
 
dear borek


then could you help me plot the 1st derivative graph?
 
well I got it

but I don't know how to delete this post

I'll figure it out

wait a sec..
 
well...

is there anyone who can tell me how to delete this post?

sorry..
 
Edit -> delete

But the edit courtesy time is limited.
 
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