No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
2 / / 2 \ 2 \ 2*log (x) |2*log(x)*log\sin (x)/ 2*log (x)*cos(x)| |sin(x)| *|--------------------- + ----------------| \ x sin(x) /
2 / / 2 \ / 2 \ 2 2 / / 2 \ \ \ 2*log (x) | 2 log\sin (x)/ log(x)*log\sin (x)/ cos (x)*log (x) 2 |log\sin (x)/ cos(x)*log(x)| /2*log(|sin(x)|) cos(x)*log(x)*sign(sin(x))\ 4*cos(x)*log(x)| 2*|sin(x)| *|- log (x) + ------------ - ------------------- - --------------- + 2*log (x)*|------------ + -------------|*|--------------- + --------------------------| + ---------------| | 2 2 2 \ x sin(x) / \ x |sin(x)| / x*sin(x) | \ x x sin (x) /
2 / / 2 \ / / 2 \ / 2 \ 2 2 \ / / 2 \ \ / 2 2 2 2 2 2 \ / 2 \ 3 2 2 2 / / 2 \ \ 2 \ 2*log (x) | 6*log(x) 3*log\sin (x)/ /2*log(|sin(x)|) cos(x)*log(x)*sign(sin(x))\ | 2 log\sin (x)/ log(x)*log\sin (x)/ cos (x)*log (x) 4*cos(x)*log(x)| |log\sin (x)/ cos(x)*log(x)| | 2*log(|sin(x)|) 2*log(x)*log(|sin(x)|) log (x)*sign(sin(x))*sin(x) cos (x)*log (x)*sign (sin(x)) 2*cos (x)*log (x)*DiracDelta(sin(x)) 4*cos(x)*log(x)*sign(sin(x))| 2*log(x)*log\sin (x)/ 2*cos (x)*log (x) 2*log (x)*cos(x) /2*log(|sin(x)|) cos(x)*log(x)*sign(sin(x))\ 3 |log\sin (x)/ cos(x)*log(x)| 6*cos(x) 6*cos (x)*log(x) 6*cos(x)*log(x)| 2*|sin(x)| *|- -------- - -------------- - 4*|--------------- + --------------------------|*|log (x) - ------------ + ------------------- + --------------- - ---------------|*log(x) - 2*|------------ + -------------|*|- --------------- + ---------------------- + --------------------------- + ----------------------------- - ------------------------------------ - ----------------------------|*log(x) + --------------------- + ----------------- + ---------------- + 4*|--------------- + --------------------------| *log (x)*|------------ + -------------| + --------- - ---------------- - ---------------| | x 3 \ x |sin(x)| / | 2 2 2 x*sin(x) | \ x sin(x) / | 2 2 |sin(x)| 2 |sin(x)| x*|sin(x)| | 3 3 sin(x) \ x |sin(x)| / \ x sin(x) / 2 2 2 | \ x \ x x sin (x) / \ x x sin (x) / x sin (x) x *sin(x) x*sin (x) x *sin(x) /