Derivative of (1/x)*ln(x)

Derivative of (1/x)*ln(x). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of (1/x)*ln(x): 


((1/x)*ln(x))'

(1/x)'*ln(x)+(1/x)*(ln(x))'

(((1)'*x-(1*(x)'))/(x^2))*ln(x)+(1/x)*(ln(x))'

((0*x-(1*(x)'))/(x^2))*ln(x)+(1/x)*(ln(x))'

((0*x-(1*1))/(x^2))*ln(x)+(1/x)*(ln(x))'

(-1/(x^2))*ln(x)+(1/x)*(ln(x))'

(-1/(x^2))*ln(x)+(1/x)*(1/x)

1/(x^2)-(x^-2*ln(x))

The calculation above is a derivative of the function f (x)

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