Se aplica la regla de la derivada de una multiplicación:
; calculamos :
Se aplica la regla de la derivada de una multiplicación:
; calculamos :
Se aplica la regla de la derivada de una multiplicación:
; calculamos :
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
; calculamos :
Derivado es .
Como resultado de:
; calculamos :
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Como resultado de:
; calculamos :
Derivado es .
Como resultado de:
Simplificamos:
Respuesta:
/ / / x\ \ \ / x\ | | \x / / x\ / x \ | / x\ | x \x / | x |x \x / |x x | | x \x / | x *x *log(x) |x *|----- + x *|-- + x *(1 + log(x))*log(x)|*log(x)| + x *x *(1 + log(x))*log(x)|*log(x) + --------------- \ \ x \x / / / x
// x /1 \\ /1 x /1 \ \\ / x\ || / 2 \ 2*x *|- + (1 + log(x))*log(x)|| 2*|- + (1 + log(x))*log(x) + x *|- + (1 + log(x))*log(x)|*log(x)|| x \x / || 1 /1 2\ /1 x /1 \ \ x | 1 log(x) x /1 \ 2 2*(1 + log(x))| \x /| log(x) \x \x / /| x *x *||- -- + |- + (1 + log(x)) |*log(x) + 2*(1 + log(x))*|- + x *|- + (1 + log(x))*log(x)|*log(x)| + x *|- -- + ------ + x *|- + (1 + log(x))*log(x)| + (1 + log(x)) *log(x) + --------------|*log(x) + ------------------------------|*log(x) - ------ + -----------------------------------------------------------------| || 2 \x / \x \x / / | 2 x \x / x | x | 2 x | \\ x \ x / / x /
/ / x /1 \\\ |/ / 2 \\ | / 2 \ 2*x *|- + (1 + log(x))*log(x)||| || x | 1 log(x) x /1 \ 2 2*(1 + log(x))|| | 1 /1 2\ /1 x /1 \ \ x | 1 log(x) x /1 \ 2 2*(1 + log(x))| \x /|| || / x /1 \\ x /1 \ 3*x *|- -- + ------ + x *|- + (1 + log(x))*log(x)| + (1 + log(x)) *log(x) + --------------|| /1 x /1 \ \ 3*|- -- + |- + (1 + log(x)) |*log(x) + 2*(1 + log(x))*|- + x *|- + (1 + log(x))*log(x)|*log(x)| + x *|- -- + ------ + x *|- + (1 + log(x))*log(x)| + (1 + log(x)) *log(x) + --------------|*log(x) + ------------------------------|| / x\ || | / 2 \ 2*x *|- + (1 + log(x))*log(x)|| / 3 2 \ 3*x *|- + (1 + log(x))*log(x)| | 2 x \x / x || 3*|- + (1 + log(x))*log(x) + x *|- + (1 + log(x))*log(x)|*log(x)| | 2 \x / \x \x / / | 2 x \x / x | x || x \x / ||2 / 3 1 3*(1 + log(x))\ | 1 x | 1 log(x) x /1 \ 2 2*(1 + log(x))| \x /| /1 2\ /1 x /1 \ \ x |2 3 2*x /1 \ 3 log(x) 3*(1 + log(x)) 3*(1 + log(x)) 3*(1 + log(x))*log(x) x /1 \ / 1 log(x) 2 2*(1 + log(x))\| \x / \ x /| \x \x / / 2*log(x) \ x \ x / /| x *x *||-- + |(1 + log(x)) - -- + --------------|*log(x) + 3*(1 + log(x))*|- -- + x *|- -- + ------ + x *|- + (1 + log(x))*log(x)| + (1 + log(x)) *log(x) + --------------|*log(x) + ------------------------------| + 3*|- + (1 + log(x)) |*|- + x *|- + (1 + log(x))*log(x)|*log(x)| + x *|-- + -- + x *|- + (1 + log(x))*log(x)| + (1 + log(x)) *log(x) - ------ - -------------- + --------------- + --------------------- + 3*x *|- + (1 + log(x))*log(x)|*|- -- + ------ + (1 + log(x)) *log(x) + --------------||*log(x) - ------------------------------ + --------------------------------------------------------------------------------------------|*log(x) - ----------------------------------------------------------------- + -------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| || 3 | 2 x | | 2 | 2 x \x / x | x | \x / \x \x / / | 3 2 \x / 2 2 x x \x / | 2 x x || 2 x | 2 3 x | \\x \ x / \ x \ x / / \x x x x \ x // x / x x /