Question

What is the derivative of `lnx / x`?

Answer 1

Using quotient rule, which states that for `y=f(x)/g(x)`, `(dy)/(dx)=(f'(x)g(x)=f(x)g'(x))/g(x)^2`

Explanation:

Solving:

`(dy)/(dx)=((1/x)x-lnx(1))/x^2`

`(dy)/(dx)=(1-lnx)/x^2`