Question

Calcule y simplifique la derivada de la funcion ln(x)/x a la 2

Answer 1

(ln x) / (x^2)=

=> [(ln x)'*x^2 - ln x * (x^2)'] / (x^2)^2

(ln x)'= 1/x 

(X^2)'= 2x

=> (( x^2)/x) - ln x * 2x) / x^4

=> ( x - ln x * 2x) / x^4

=> ( x * ( 1- 2ln x)) x^4

=> (1 - 2ln x) / x^3

 Listo espero te sirva. Suerte