How to obtain error approximation by using partial derivatives with a given function?

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Serkan Durmaz
Serkan Durmaz 2015-4-9
编辑： Serkan Durmaz 2015-4-9
Dear all,
I want to calculate my error by using partial derivatives. I have experimental values of Voltage and Current. By using these values I calculate my m value. In these 27 m values, I pick 1,35. After I pick this value, I want to see what would my error be.
Here are the values:
V = [0.05, 0.49, 0.89, 2.07, 3.71, 4.51, 5.49, 6.61, 6.9, 7.64, 7.85, 8.35, 8.55, 8.6, 8.61, 8.63, 8.67, 8.7, 8.75, 8.77, 8.81, 8.82, 8.83, 8.85, 8.87, 8.89, 8.9];
I = [0.42, 0.42, 0.41, 0.41, 0.4, 0.4, 0.4, 0.41, 0.41, 0.4, 0.4, 0.4, 0.39, 0.38, 0.38, 0.37, 0.36, 0.35, 0.33, 0.31, 0.3, 0.29, 0.28, 0.26, 0.25, 0.24, 0.22];
% My function to find m value
m = V./(Vr*N*log((Isc + Is - I)./Is));
% coefficients
Isc = 0.45;
Is = 10^-8;
Vr = (298*1.32*10^-23)/(1.6*10^-19);
N = 16;
Can anyone help me to calculate error approximation by using partial derivatives? Thanks in advance.

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