What is the first derivative of nx ?

The first derivative of nx is n

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derivative of nx

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

n

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= n \cdot 1

Simplify

= n

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