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

The derivative of ln(x-6) is 1/(x-6)

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

The first derivative of ln(x-6) is 1/(x-6)

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derivative of

ln (x - 6)

\frac{1}{x - 6}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{x - 6} \cdot 1

Simplify

= \frac{1}{x - 6}

x^{2} y^{^{''}} - 20 y = 0

\frac{d}{d θ} (r (θ) (1 - cos (θ)))

\frac{d}{d x} (ln ((3 x + 1) (x + 2)^{2}))

\frac{d}{d x} (x sin (\frac{7}{x}))

\frac{d}{d x} (e^{- 2 x} cos (x))

What is the derivative of ln(x-6) ?
The derivative of ln(x-6) is 1/(x-6)
What is the first derivative of ln(x-6) ?
The first derivative of ln(x-6) is 1/(x-6)