What is the derivative of ln(12x) ?

The derivative of ln(12x) is 1/x

What is the first derivative of ln(12x) ?

The first derivative of ln(12x) is 1/x

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derivative of

ln (12 x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (12 x))

Apply the chain rule:

\frac{1}{12 x} \frac{d}{d x} (12 x)

= \frac{1}{12 x} \frac{d}{d x} (12 x)

\frac{d}{d x} (12 x) = 12

= \frac{1}{12 x} \cdot 12

Simplify

\frac{1}{12 x} \cdot 12 : \frac{1}{x}

= \frac{1}{x}

What is the derivative of ln(12x) ?
The derivative of ln(12x) is 1/x
What is the first derivative of ln(12x) ?
The first derivative of ln(12x) is 1/x