What is the first derivative of xl ?

The first derivative of xl is l

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derivative of xl

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

l

Solution steps

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

Take the constant out:

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

= l \frac{d x}{d x}

Apply the common derivative:

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

= l \cdot 1

Simplify

= l

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