What is the first derivative of xk ?

The first derivative of xk is k

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derivative of xk

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

k

Solution steps

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

Take the constant out:

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

= k \frac{d x}{d x}

Apply the common derivative:

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

= k \cdot 1

Simplify

= k

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