What is the derivative of ln(x+4) ?

The derivative of ln(x+4) is 1/(x+4)

What is the first derivative of ln(x+4) ?

The first derivative of ln(x+4) is 1/(x+4)

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\frac{d}{d x} (ln (x + 4))

\frac{1}{x + 4}

Solution steps

\frac{d}{d x} (ln (x + 4))

Apply the chain rule:

\frac{1}{x + 4} \frac{d}{d x} (x + 4)

= \frac{1}{x + 4} \frac{d}{d x} (x + 4)

\frac{d}{d x} (x + 4) = 1

= \frac{1}{x + 4} \cdot 1

Simplify

= \frac{1}{x + 4}

What is the derivative of ln(x+4) ?
The derivative of ln(x+4) is 1/(x+4)
What is the first derivative of ln(x+4) ?
The first derivative of ln(x+4) is 1/(x+4)