What is the derivative of ln(-x) ?

The derivative of ln(-x) is 1/x

What is the first derivative of ln(-x) ?

The first derivative of ln(-x) is 1/x

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derivative of

ln (- x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (- x))

Apply the chain rule:

\frac{1}{- x} \frac{d}{d x} (- x)

= \frac{1}{- x} \frac{d}{d x} (- x)

\frac{d}{d x} (- x) = - 1

= \frac{1}{- x} (- 1)

Simplify

= \frac{1}{x}

\int \frac{12}{x ^{- 1} + 3} d x

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\int_{1}^{4} (2 x + 1) d x

\frac{\partial}{\partial x} (\frac{2 s - 3 x}{3 s + 5 x})