Arrhenius slope: d(ln k)/d(1/T) = −E_a/k_B (exact)

Closed-form symbolic derivative of the Arrhenius law. ln k(T) = ln A − E_a/(k_B·T); let u = 1/T, ln k(u) = ln A − (E_a/k_B)·u; hence d(ln k)/du = −E_a/k_B — a constant independent of T. Sympy: sp.diff(sp.log(A·exp(−E_a/(k_B·(1/u)))), u)…