What is the first derivative of mx ?

The first derivative of mx is m

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derivative of mx

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

m

Solution steps

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

Take the constant out:

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

= m \frac{d x}{d x}

Apply the common derivative:

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

= m \cdot 1

Simplify

= m

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