What is the derivative of ln(10-x) ?

The derivative of ln(10-x) is -1/(10-x)

What is the first derivative of ln(10-x) ?

The first derivative of ln(10-x) is -1/(10-x)

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\frac{d}{d x} (ln (10 - x))

- \frac{1}{10 - x}

Solution steps

\frac{d}{d x} (ln (10 - x))

Apply the chain rule:

\frac{1}{10 - x} \frac{d}{d x} (10 - x)

= \frac{1}{10 - x} \frac{d}{d x} (10 - x)

\frac{d}{d x} (10 - x) = - 1

= \frac{1}{10 - x} (- 1)

Simplify

= - \frac{1}{10 - x}

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What is the derivative of ln(10-x) ?
The derivative of ln(10-x) is -1/(10-x)
What is the first derivative of ln(10-x) ?
The first derivative of ln(10-x) is -1/(10-x)