Show that the function given by `f(x)=(logx)/x`has maximum at `x = e`.

Explanation

To show that the function \( f(x) = \frac{\log x}{x} \) has a maximum at \( x = e \), we will follow these steps:

### Step 1: Find the first derivative of the function
We start by differentiating the function using the quotient rule. The quotient rule states that if you have a function \( f(x) = \frac{u}{v} \), then the derivative \( f'(x) \) is given by:

\[ f'(x) = \frac{u'v - uv'}{v^2} \]
...