What is the derivative of aln(x) ?

The derivative of aln(x) is a/x

What is the first derivative of aln(x) ?

The first derivative of aln(x) is a/x

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\frac{d}{d x} (a ln (x))

\frac{a}{x}

Solution steps

\frac{d}{d x} (a ln (x))

Take the constant out:

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

= a \frac{d}{d x} (ln (x))

Apply the common derivative:

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= a \frac{1}{x}

Simplify

a \frac{1}{x} : \frac{a}{x}

= \frac{a}{x}