What is the derivative of y=ln|x| ?

The derivative of y=ln|x| is 1/x

What is the first derivative of y=ln|x| ?

The first derivative of y=ln|x| is 1/x

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derivative of

y = 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 ∣) = \frac{x}{∣ x ∣}

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

Simplify

\frac{1}{∣ x ∣} \cdot \frac{x}{∣ x ∣} : \frac{1}{x}

= \frac{1}{x}

f (x) = x - 8, at x = 12

\int x^{2} + 4 e^{x} + C d x

\frac{\partial}{\partial x} (2 \cdot x^{3} \cdot y^{2})

\int_{0}^{1} cos (nπ x) d x

\frac{d}{d x} (ln (6 x^{4} - 9 x - 3))

What is the derivative of y=ln|x| ?
The derivative of y=ln|x| is 1/x
What is the first derivative of y=ln|x| ?
The first derivative of y=ln|x| is 1/x