Не могу найти шаги в поиске этой производной.
Но производная
Теперь упростим:
Ответ:
/ x\ / x \ \E / | x e | (asin(x)) *|e *log(asin(x)) + -------------------| | ________ | | / 2 | \ \/ 1 - x *asin(x)/
/ x\ / 2 \ \e / | 1 / 1 \ x 2 x | x (asin(x)) *|------------------ + |------------------- + log(asin(x))| *e + ------------------- + ------------------- + log(asin(x))|*e |/ 2\ 2 | ________ | ________ 3/2 | |\-1 + x /*asin (x) | / 2 | / 2 / 2\ | \ \\/ 1 - x *asin(x) / \/ 1 - x *asin(x) \1 - x / *asin(x) /
/ x\ / 3 2 \ \e / | 1 / 1 \ 2*x 2 3 3 3*x 3*x 3*x / 1 \ / 1 2 x \ x | x (asin(x)) *|------------------- + |------------------- + log(asin(x))| *e + -------------------- + ------------------- + ------------------ - ------------------- + ------------------- + ------------------- + 3*|------------------- + log(asin(x))|*|------------------ + ------------------- + ------------------- + log(asin(x))|*e + log(asin(x))|*e | 3/2 | ________ | 3/2 ________ / 2\ 2 2 3/2 5/2 | ________ | |/ 2\ 2 ________ 3/2 | | |/ 2\ | / 2 | / 2\ 3 / 2 \-1 + x /*asin (x) / 2\ 2 / 2\ / 2\ | / 2 | |\-1 + x /*asin (x) / 2 / 2\ | | \\1 - x / *asin(x) \\/ 1 - x *asin(x) / \1 - x / *asin (x) \/ 1 - x *asin(x) \-1 + x / *asin (x) \1 - x / *asin(x) \1 - x / *asin(x) \\/ 1 - x *asin(x) / \ \/ 1 - x *asin(x) \1 - x / *asin(x) / /