Derivative of 2ln(x/(x-1))

Derivative of 2ln(x/(x-1)). 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 2ln(x/(x-1)):


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

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

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

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

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

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

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

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

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

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

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

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

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

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