What is the derivative of ln(x+p) ?

The derivative of ln(x+p) is 1/(x+p)

What is the first derivative of ln(x+p) ?

The first derivative of ln(x+p) is 1/(x+p)

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derivative of

ln (x + p)

\frac{1}{x + p}

Solution steps

\frac{d}{d x} (ln (x + p))

Treat

p

as a constant

Apply the chain rule:

\frac{1}{x + p} \frac{d}{d x} (x + p)

= \frac{1}{x + p} \frac{d}{d x} (x + p)

\frac{d}{d x} (x + p) = 1

= \frac{1}{x + p} \cdot 1

Simplify

= \frac{1}{x + p}

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