# Find the derivative of 1/ x.

The derivative of a function is represented by or f '(x). It means that the function is the derivative of y with respect to the variable x.

## Answer: The derivative of 1/x is -1/x^{2}.

Let us proceed step by step.

**Explanation:**

Let us consider f(x) = 1/x =x^{-1}

Then, f'(x) = n x^{n-1} , where n= -1.

Replacing n with -1, we get

f'(1/x) = -1 x^{-2}

f'(1/x) = -1/ x^{2}

### So, the derivative of 1/x is -1/x^{2}.

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