Taking the second derivative

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Hans123
Hans123 on 7 Feb 2019
Commented: David Kohlisa on 2 Mar 2021
I have two arrays M and V, both are the same dimesions.
I am trying to find and plot this vs. M, this is the code I am working with - but it doesn't work - what should I do?
second_der = diff(V_preamp,2)./diff(M,2);
The probem with the above code is it creates a second derivative code that is shorter than the independent variable I am plotting the graph with (independent variable - M)
How can I fix this isse.

Accepted Answer

Torsten
Torsten on 7 Feb 2019
Edited: Torsten on 8 Feb 2019
second_der = zeros(size(V_preamp));
second_der(2:end-1) = ((V_preamp(3:end)-V_preamp(2:end-1))./...
(M(3:end)-M(2:end-1))-...
(V_preamp(2:end-1)-V_preamp(1:end-2))./...
(M(2:end-1)-M(1:end-2)))./...
(0.5*(M(3:end)-M(1:end-2)));
plot(M(2:end-1),second_der(2:end-1))
  5 Comments
David Kohlisa
David Kohlisa on 2 Mar 2021
For the two arrays V and M you have, V must be equal to some function of M where V = f(M).
To get the second derivative of V with respect to M it is simply:
d2VdM2 = diff(V, M, 2)
where V=f(M), M is what you differentiating with respect to and 2 is order of the derivative.

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