Question

Differentiate it by using the first principle. Refer to the picture below.

Answer 1

The function is given as

`f(x)=(ax)/(x-1)`

Differentiate the function

`f^(\prime)(x)=(a(x-1)-ax)/((x-1)^2)=-(a)/((x-1)^2)`

Hence the answer is

`(a)/((x-1)^2)`