Below you can find the full step by step solution for you problem. We hope it will be very helpful for you and it will help you to understand the solving process.
(ln((2*x-1)/(x-1)))'The calculation above is a derivative of the function f (x)
(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)
| Derivative of 1/(4-x^2) | | Derivative of 25+(5*tan(5x))^2 | | Derivative of 2sin(2x)^2 | | Derivative of 6ln(x)-3(ln(x))^2 | | Derivative of (cos(5x))^7 | | Derivative of -4/x | | Derivative of 4*ln(x) | | Derivative of y-20/x^2 | | Derivative of 50/x^3 | | Derivative of -50/x^2 | | Derivative of 50/x^2 | | Derivative of y-50/x^2 | | Derivative of x*y+50/x+20/y | | Derivative of 20/y | | Derivative of 1/t | | Derivative of ln(2+x-x^3) | | Derivative of 8/(ln(x)) | | Derivative of 5b^2-2b-18 | | Derivative of (6x)ln(8x)-6x | | Derivative of (3x)/(7x-9) | | Derivative of sin(x-pi/2)+2 | | Derivative of (x^2+3)(x+1) | | Derivative of cos(16x) | | Derivative of cos(16t) | | Derivative of x-ln(x) | | Derivative of -ln(x) | | Derivative of 5x^2+9x+3 | | Derivative of 6e^(-2x) | | Derivative of 14x^6/14 | | Derivative of 2(x+3)^7+5/14 | | Derivative of (2x+9)^3 | | Derivative of 9x/ln(9)-5 |