Find the derivative of `f(x) =1/x`

Explanation

To find the derivative of the function \( f(x) = \frac{1}{x} \), we will use the definition of the derivative. The derivative \( f'(x) \) is defined as:

\[ f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \]

### Step 1: Substitute \( f(x) \) into the derivative formula
We start by substituting \( f(x) = \frac{1}{x} \) into the derivative formula:
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