What is (\partial)/(\partial x)(ln(x+3)) ?

The answer to (\partial)/(\partial x)(ln(x+3)) is 1/(x+3)

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(\partial)/(\partial x)(ln(x+3))

\frac{\partial}{\partial x} (ln (x + 3))

\frac{1}{x + 3}

Solution steps

\frac{\partial}{\partial x} (ln (x + 3))

Apply the chain rule:

\frac{1}{x + 3} \frac{\partial}{\partial x} (x + 3)

= \frac{1}{x + 3} \frac{\partial}{\partial x} (x + 3)

\frac{\partial}{\partial x} (x + 3) = 1

= \frac{1}{x + 3} \cdot 1

Simplify

= \frac{1}{x + 3}

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\int cos^{3} (\frac{x}{6}) d x

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What is (\partial)/(\partial x)(ln(x+3)) ?
The answer to (\partial)/(\partial x)(ln(x+3)) is 1/(x+3)