What is the first derivative of In(x) ?

The first derivative of In(x) is nI

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derivative of In(x)

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

n I

Solution steps

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

Treat

n, I

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= I n \cdot 1

Simplify

= n I