/ 2\ \x / / x \ |---------| | _______| \\/ 1 - x /
(x/sqrt(1 - x))^(x^2)
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
/ 2\ \x / / x \ / / x \ _______ / 1 x \\ |---------| *|2*x*log|---------| + x*\/ 1 - x *|--------- + ------------|| | _______| | | _______| | _______ 3/2|| \\/ 1 - x / \ \\/ 1 - x / \\/ 1 - x 2*(1 - x) //
/ 2 \ | / 2 2 3*x \ 2 / / x \ x \ | / 2\ | x*|- ------ + ----- + --------| x *|2 + 4*log|---------| + -----| / x \| \x / | | -1 + x 1 - x 2| | | _______| 1 - x| x*|2 + -----|| / x \ | / x \ \ (1 - x) / \ \\/ 1 - x / / 3*x \ 1 - x/| |---------| *|3 + 2*log|---------| + ------------------------------- + ---------------------------------- + --------- - -------------| | _______| | | _______| 4 4 2*(1 - x) 4*(1 - x) | \\/ 1 - x / \ \\/ 1 - x / /
/ / / x \\\ | 3 | x*|2 + -----||| | 3 / / x \ x \ / 2 2 3*x \ / / x \ x \ | / x \ / 2 2 3*x \ 6*x \ 1 - x/|| / 2\ | x x x *|2 + 4*log|---------| + -----| x*|- ------ + ----- + --------| / x \ / 5*x \ 3*x*|2 + 4*log|---------| + -----|*|12 + 8*log|---------| + x*|- ------ + ----- + --------| + ----- - -------------|| \x / | 2 + ----- 2 + ----- | | _______| 1 - x| | -1 + x 1 - x 2| x*|2 + -----| 3*x*|6 + -----| | | _______| 1 - x| | | _______| | -1 + x 1 - x 2| 1 - x 1 - x || / x \ | 2 2 1 - x 1 - x 3*x \ \\/ 1 - x / / \ (1 - x) / \ 1 - x/ \ 1 - x/ \ \\/ 1 - x / / \ \\/ 1 - x / \ (1 - x) / /| |---------| *|- ------ + ----- + --------- - --------- + -------- + ---------------------------------- - ------------------------------- - ------------- + --------------- + --------------------------------------------------------------------------------------------------------------------| | _______| | -1 + x 1 - x x 1 - x 2 8 4*(1 - x) 2 2 8 | \\/ 1 - x / \ (1 - x) 8*(1 - x) 8*(1 - x) /