What is the first derivative of x/n ?

The first derivative of x/n is 1/n

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derivative of x/n

\frac{d}{d x} (\frac{x}{n})

\frac{1}{n}

Solution steps

\frac{d}{d x} (\frac{x}{n})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{n} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= \frac{1}{n} \cdot 1

Simplify

= \frac{1}{n}

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