_______ / 1 - x / 1 1 - x \ / ----- *(1 + x)*|- --------- - ----------| \/ 1 + x | 2*(1 + x) 2| \ 2*(1 + x) / ---------------------------------------------- ___________ / 1 - x (1 - x)* / 1 - ----- \/ 1 + x
((sqrt((1 - x)/(1 + x))*(1 + x))*(-1/(2*(1 + x)) - (1 - x)/(2*(1 + x)^2)))/(((1 - x)*sqrt(1 - (1 - x)/(1 + x))))
_______ ___ / 1 - x \/ 2 * / ----- \/ 1 + x ----------------------- _______ / x / 2\ 2* / ----- *\-1 + x / \/ 1 + x
sqrt(2)*sqrt((1 - x)/(1 + x))/(2*sqrt(x/(1 + x))*(-1 + x^2))
_______ / 1 - x / 1 1 - x \ / ----- *(1 + x)*|- ------- - ----------| \/ 1 + x | 2 + 2*x 2| \ 2*(1 + x) / -------------------------------------------- ___________ / 1 - x (1 - x)* / 1 - ----- \/ 1 + x
sqrt((1 - x)/(1 + x))*(1 + x)*(-1/(2 + 2*x) - (1 - x)/(2*(1 + x)^2))/((1 - x)*sqrt(1 - (1 - x)/(1 + x)))
_______________ _______________ _______________ / 1 x 2 / 1 x 2 / 1 x 2* / ----- - ----- - 2*x * / ----- - ----- + 2*(1 + x) * / ----- - ----- \/ 1 + x 1 + x \/ 1 + x 1 + x \/ 1 + x 1 + x --------------------------------------------------------------------------------- ___________________ / 1 x 2*(1 + x)*(-1 + x)*(2 + 2*x)* / 1 - ----- + ----- \/ 1 + x 1 + x
(2*sqrt(1/(1 + x) - x/(1 + x)) - 2*x^2*sqrt(1/(1 + x) - x/(1 + x)) + 2*(1 + x)^2*sqrt(1/(1 + x) - x/(1 + x)))/(2*(1 + x)*(-1 + x)*(2 + 2*x)*sqrt(1 - 1/(1 + x) + x/(1 + x)))
____________ ___ / -(-1 + x) \/ 2 * / ---------- \/ 1 + x ------------------------------ _______ / x 2* / ----- *(1 + x)*(-1 + x) \/ 1 + x
sqrt(2)*sqrt(-(-1 + x)/(1 + x))/(2*sqrt(x/(1 + x))*(1 + x)*(-1 + x))
_______ ___ / 1 - x -\/ 2 * / ----- \/ 1 + x ----------------------------- _______ / x 2* / ----- *(1 + x)*(1 - x) \/ 1 + x
-sqrt(2)*sqrt((1 - x)/(1 + x))/(2*sqrt(x/(1 + x))*(1 + x)*(1 - x))
_______________ / 1 x / ----- - ----- \/ 1 + x 1 + x ------------------------------------------------------ ___________________ ___________________ / 1 x 2 / 1 x - / 1 - ----- + ----- + x * / 1 - ----- + ----- \/ 1 + x 1 + x \/ 1 + x 1 + x
sqrt(1/(1 + x) - x/(1 + x))/(-sqrt(1 - 1/(1 + x) + x/(1 + x)) + x^2*sqrt(1 - 1/(1 + x) + x/(1 + x)))
((1.0 - x)/(1.0 + x))^0.5*(1.0 - (1.0 - x)/(1.0 + x))^(-0.5)*(1.0 + x)*(-1/(2.0 + 2.0*x) - 0.5*(1.0 - x)/(1.0 + x)^2)/(1.0 - x)
((1.0 - x)/(1.0 + x))^0.5*(1.0 - (1.0 - x)/(1.0 + x))^(-0.5)*(1.0 + x)*(-1/(2.0 + 2.0*x) - 0.5*(1.0 - x)/(1.0 + x)^2)/(1.0 - x)
_______ / 1 - x / 1 1 - x \ / ----- *(1 + x)*|- ------- - ----------| \/ 1 + x | 2 + 2*x 2| \ 2*(1 + x) / -------------------------------------------- ___________ / 1 - x (1 - x)* / 1 - ----- \/ 1 + x
sqrt((1 - x)/(1 + x))*(1 + x)*(-1/(2 + 2*x) - (1 - x)/(2*(1 + x)^2))/((1 - x)*sqrt(1 - (1 - x)/(1 + x)))
_______ / 1 - x / 1 1 - x \ / ----- *(1 + x)*|- ------- - ----------| \/ 1 + x | 2 + 2*x 2| \ 2*(1 + x) / -------------------------------------------- ___________ / 1 - x (1 - x)* / 1 - ----- \/ 1 + x
/ 1 x \ _______ | - - + - | / 1 - x | 1 2 2 | / ----- *(1 + x)*|- ------- + --------| \/ 1 + x | 2 + 2*x 2| \ (1 + x) / ------------------------------------------ ____________ / -1 + x (1 - x)* / 1 + ------ \/ 1 + x
sqrt((1 - x)/(1 + x))*(1 + x)*(-1/(2 + 2*x) + (-1/2 + x/2)/(1 + x)^2)/((1 - x)*sqrt(1 + (-1 + x)/(1 + x)))