How do you find the derivative of #y= ln (x/(x-1))#?
1 Answer
Nov 19, 2016
Explanation:
# y = ln(x/(x-1)) #
# :. y = ln(x) - ln (x-1) #
# :. dy/dx = 1/x - 1/(x-1) #
# :. dy/dx = ((x-1)-x)/(x(x-1)) #
# :. dy/dx = -1/(x(x-1)) #