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

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

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

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

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derivative

\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}

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