No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
x*atan(7*x) // 7*x \ \ x *||--------- + atan(7*x)|*log(x) + atan(7*x)| || 2 | | \\1 + 49*x / /
/ / 2 \ \ | 7*x | 49*x | | | --------- + atan(7*x) 14*|-1 + ---------|*log(x)| | 2 2 | 2| | x*atan(7*x) |// 7*x \ \ 7 1 + 49*x \ 1 + 49*x / | x *|||--------- + atan(7*x)|*log(x) + atan(7*x)| + --------- + --------------------- - --------------------------| ||| 2 | | 2 x 2 | \\\1 + 49*x / / 1 + 49*x 1 + 49*x /
/ / / 2 \ \ / 2 \ / 2 \ \ | 7*x | 7*x | 49*x | | | 49*x | | 49*x | | | --------- + atan(7*x) | --------- + atan(7*x) 14*|-1 + ---------|*log(x)| 28*|-1 + ---------| 2744*x*|-1 + ---------|*log(x)| | 3 2 | 2 | 2| | | 2| | 2| | x*atan(7*x) |// 7*x \ \ 1 + 49*x 686*x // 7*x \ \ | 7 1 + 49*x \ 1 + 49*x / | \ 1 + 49*x / \ 1 + 49*x / | x *|||--------- + atan(7*x)|*log(x) + atan(7*x)| - --------------------- - ------------ + 3*||--------- + atan(7*x)|*log(x) + atan(7*x)|*|--------- + --------------------- - --------------------------| - ------------------- + ------------------------------| ||| 2 | | 2 2 || 2 | | | 2 x 2 | / 2\ 2 | |\\1 + 49*x / / x / 2\ \\1 + 49*x / / \1 + 49*x 1 + 49*x / x*\1 + 49*x / / 2\ | \ \1 + 49*x / \1 + 49*x / /