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

The derivative of ln(x-5) is 1/(x-5)

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

The first derivative of ln(x-5) is 1/(x-5)

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

\frac{1}{x - 5}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{x - 5} \cdot 1

Simplify

= \frac{1}{x - 5}

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

2 (t - \frac{π}{4}) sin (4 t)

3 x^{2} + 3 x

\frac{d}{d t} (\frac{1}{t ^{2} + 1})

f (x) = x + 1 - ln (x), at x = 0.5

What is the derivative of ln(x-5) ?
The derivative of ln(x-5) is 1/(x-5)
What is the first derivative of ln(x-5) ?
The first derivative of ln(x-5) is 1/(x-5)