x __________ \/ sin(2*x)
d /x __________\ --\\/ sin(2*x) / dx
Не могу найти шаги в поиске этой производной.
Но производная
Теперь упростим:
Ответ:
x __________ / log(sin(2*x)) 2*cos(2*x)\ \/ sin(2*x) *|- ------------- + ----------| | 2 x*sin(2*x)| \ x /
/ 2 \ | / log(sin(2*x)) 2*cos(2*x)\ | | |- ------------- + ----------| 2 | x __________ | \ x sin(2*x) / 4*cos (2*x) 2*log(sin(2*x)) 4*cos(2*x)| \/ sin(2*x) *|-4 + ------------------------------- - ----------- + --------------- - ----------| | x 2 2 x*sin(2*x)| \ sin (2*x) x / ------------------------------------------------------------------------------------------------ x
/ / 2 \ \ | 3 / log(sin(2*x)) 2*cos(2*x)\ | log(sin(2*x)) 2*cos (2*x) 2*cos(2*x)| | | / log(sin(2*x)) 2*cos(2*x)\ 6*|- ------------- + ----------|*|2 - ------------- + ----------- + ----------| | | |- ------------- + ----------| 3 \ x sin(2*x) / | 2 2 x*sin(2*x)| 2 | x __________ |12 \ x sin(2*x) / 6*log(sin(2*x)) 16*cos (2*x) 16*cos(2*x) \ x sin (2*x) / 12*cos (2*x) 12*cos(2*x)| \/ sin(2*x) *|-- + ------------------------------- - --------------- + ------------ + ----------- - ------------------------------------------------------------------------------- + ------------ + -----------| |x 2 3 3 sin(2*x) x 2 2 | \ x x sin (2*x) x*sin (2*x) x *sin(2*x)/ ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- x