deletions | additions       diff --git a/Explicit Derivative.tex b/Explicit Derivative.tex  index 0bfc414..f0e076c 100644  --- a/Explicit Derivative.tex  +++ b/Explicit Derivative.tex 
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- \psi(x) \frac{2xq(a^{10}+a^8x^2+a^6x^4+a^4x^6+a^2x^8+x^{10}) + 12a^6x^5}{a^{12}-x^{12}}  \end{equation}  At this point it is clear there may be an interesting related sequence of the form, say \begin{equation}  \xi^{10}(x,a)=(x^10+a^2x^8+a^4x^6+a^6x^4+a^8x^2+a^10) \\  \xi^{8}(x,a)=(x^8+a^2x^6+a^4x^4+a^6x^2+a^8) \\  \xi^{6}(x,a)=(x^6+a^2x^4+a^4x^2+a^6) \\  \xi^{4}(x,a)=(x^4+a^2x^2+a^4) \\  \xi^{2}(x,a)=(x^2+a^2)  \end{equation}