What is the derivative of ln(x-1) ?

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

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

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

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derivative of

ln (x - 1)

\frac{1}{x - 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= \frac{1}{x - 1}

f (x) = ln (12 x)

\frac{d}{d x} (((x + 5)^{5} - 1)^{4})

\frac{\partial}{\partial x} (\frac{1}{1 - e ^{- x}})

x \to 0 lim (x cot (\frac{10}{3} x))

y = x^{2} 8 x - 9

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