\frac{\partial B}{\partial s} = -3s \cdot \mu_0 \cdot n \cdot R^2 \frac{I}{(R^2+s^2)^\frac{5}{2}}

\frac{\partial B}{\partial R} = \mu_0 \cdot n \cdot I \cdot \left ( 2 \cdot R \frac{1}{(R^2+s^2)^\frac{3}{2}} - 3 \cdot R^3 \frac{1}{(R^2+s^2)^\frac{5}{2}} \right )

\frac{\partial B}{\partial I} = \mu_0 \cdot n \cdot R^2 \frac{1}{(R^2+s^2)^\frac{3}{2}}

\overline{\Delta \overline{B}} = \pm \sqrt{\left (\frac{\partial B}{\partial R} \right ) ^2 \cdot \overline{\Delta \overline{R}}^2 + \left (\frac{\partial B}{\partial s} \right ) ^2 \cdot \overline{\Delta \overline{s}}^2 + \left (\frac{\partial B}{\partial I} \right ) ^2 \cdot \overline{\Delta \overline{I}}^2}

mu0 * n * I * (2 * R * 1/(R^2+s^2)^(3/2) - 3 * R^3 * 1/(R^2+s^2)^(5/2))

-3 * s * mu0 * n * R^2 * I/(R^2+s^2)^(5/2)

mu0 * n * R^2 * 1/(R^2+s^2)^(3/2)

sqrt((mu0 * (154) * (0.02585 A) * (2 * (0.38 m) * 1/((0.38 m)^2+(0.1075 m)^2)^(3/2) - 3 * (0.38 m)^3 * 1/((0.38 m)^2+(0.1075 m)^2)^(5/2)))^2 * (0.01 m)^2 + (-3 * (0.1075 m) * mu0 * (154) * (0.38 m)^2 * (0.02585 A)/((0.38 m)^2+(0.1075 m)^2)^(5/2))^2 * (0.01 m)^2 + (mu0 * (154) * (0.38 m)^2 * 1/((0.38 m)^2+(0.1075 m)^2)^(3/2))^2 * (0.00242604911032615 A)^2)

R = (0.38 m)
s = (0.1075 m)
I = (0.02585 A)
n = (154)
DR = (0.01 m)
Ds = (0.01 m)
DI = (0.00242604911032615 A)