What is the derivative of ln(18x) ?

The derivative of ln(18x) is 1/x

What is the first derivative of ln(18x) ?

The first derivative of ln(18x) is 1/x

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\frac{d}{d x} (ln (18 x))

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (18 x))

Apply the chain rule:

\frac{1}{18 x} \frac{d}{d x} (18 x)

= \frac{1}{18 x} \frac{d}{d x} (18 x)

\frac{d}{d x} (18 x) = 18

= \frac{1}{18 x} \cdot 18

Simplify

\frac{1}{18 x} \cdot 18 : \frac{1}{x}

= \frac{1}{x}

What is the derivative of ln(18x) ?
The derivative of ln(18x) is 1/x
What is the first derivative of ln(18x) ?
The first derivative of ln(18x) is 1/x