What is (\partial)/(\partial x)(ln(x+1)) ?

The answer to (\partial)/(\partial x)(ln(x+1)) is 1/(x+1)

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(\partial)/(\partial x)(ln(x+1))

\frac{\partial}{\partial x} (ln (x + 1))

\frac{1}{x + 1}

Solution steps

\frac{\partial}{\partial x} (ln (x + 1))

Apply the chain rule:

\frac{1}{x + 1} \frac{\partial}{\partial x} (x + 1)

= \frac{1}{x + 1} \frac{\partial}{\partial x} (x + 1)

\frac{\partial}{\partial x} (x + 1) = 1

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

Simplify

= \frac{1}{x + 1}

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What is (\partial)/(\partial x)(ln(x+1)) ?
The answer to (\partial)/(\partial x)(ln(x+1)) is 1/(x+1)