What is the derivative of ln(6-5x) ?

The derivative of ln(6-5x) is -5/(6-5x)

What is the first derivative of ln(6-5x) ?

The first derivative of ln(6-5x) is -5/(6-5x)

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\frac{d}{d x} (ln (6 - 5 x))

- \frac{5}{6 - 5 x}

Solution steps

\frac{d}{d x} (ln (6 - 5 x))

Apply the chain rule:

\frac{1}{6 - 5 x} \frac{d}{d x} (6 - 5 x)

= \frac{1}{6 - 5 x} \frac{d}{d x} (6 - 5 x)

\frac{d}{d x} (6 - 5 x) = - 5

= \frac{1}{6 - 5 x} (- 5)

Simplify

\frac{1}{6 - 5 x} (- 5) : - \frac{5}{6 - 5 x}

= - \frac{5}{6 - 5 x}

What is the derivative of ln(6-5x) ?
The derivative of ln(6-5x) is -5/(6-5x)
What is the first derivative of ln(6-5x) ?
The first derivative of ln(6-5x) is -5/(6-5x)