What is the derivative of ln(x-8) ?

The derivative of ln(x-8) is 1/(x-8)

What is the first derivative of ln(x-8) ?

The first derivative of ln(x-8) is 1/(x-8)

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\frac{d}{d x} (ln (x - 8))

\frac{1}{x - 8}

Solution steps

\frac{d}{d x} (ln (x - 8))

Apply the chain rule:

\frac{1}{x - 8} \frac{d}{d x} (x - 8)

= \frac{1}{x - 8} \frac{d}{d x} (x - 8)

\frac{d}{d x} (x - 8) = 1

= \frac{1}{x - 8} \cdot 1

Simplify

= \frac{1}{x - 8}

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What is the derivative of ln(x-8) ?
The derivative of ln(x-8) is 1/(x-8)
What is the first derivative of ln(x-8) ?
The first derivative of ln(x-8) is 1/(x-8)