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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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