Derivative of ln(ln(1/x))

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


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

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

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

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

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

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

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

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

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