We then have \[\frac{d^2}{dx^2}= -\frac{(2 (1-\frac{x^2}{a^2})^q (a^{18} q-2 a^{16} q^2 x^2+2 a^{16} q x^2-2 a^{14} q^2 x^4+2 a^{14} q x^4+30 a^{14} x^4-2 a^{12} q^2 x^6-21 a^{12} q x^6-30 a^{12} x^6-4 a^{10} q^2 x^8+4 a^{10} q x^8-4 a^8 q^2 x^{10}+4 a^8 q x^{10}-42 a^8 x^{10}-4 a^6 q^2 x^{12}-21 a^6 q x^{12}+42 a^6 x^{12}-2 a^4 q^2 x^{14}+2 a^4 q x^{14}-2 a^2 q^2 x^{16}+2 a^2 q x^{16}-2 q^2 x^{18}+q x^{18}))}{((a-x) (a+x) (a^2+x^2)^3 (a^4-a^2 x^2+x^4)^3)}\]