What is the derivative of ln(x+10) ?

The derivative of ln(x+10) is 1/(x+10)

What is the first derivative of ln(x+10) ?

The first derivative of ln(x+10) is 1/(x+10)

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\frac{d}{d x} (ln (x + 10))

\frac{1}{x + 10}

Solution steps

\frac{d}{d x} (ln (x + 10))

Apply the chain rule:

\frac{1}{x + 10} \frac{d}{d x} (x + 10)

= \frac{1}{x + 10} \frac{d}{d x} (x + 10)

\frac{d}{d x} (x + 10) = 1

= \frac{1}{x + 10} \cdot 1

Simplify

= \frac{1}{x + 10}

What is the derivative of ln(x+10) ?
The derivative of ln(x+10) is 1/(x+10)
What is the first derivative of ln(x+10) ?
The first derivative of ln(x+10) is 1/(x+10)