What is the derivative of ln(x/4) ?

The derivative of ln(x/4) is 1/x

What is the first derivative of ln(x/4) ?

The first derivative of ln(x/4) is 1/x

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\frac{d}{d x} (ln (\frac{x}{4}))

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (\frac{x}{4}))

Apply the chain rule:

\frac{1}{\frac{x}{4}} \frac{d}{d x} (\frac{x}{4})

= \frac{1}{\frac{x}{4}} \frac{d}{d x} (\frac{x}{4})

\frac{d}{d x} (\frac{x}{4}) = \frac{1}{4}

= \frac{1}{\frac{x}{4}} \cdot \frac{1}{4}

Simplify

\frac{1}{\frac{x}{4}} \cdot \frac{1}{4} : \frac{1}{x}

= \frac{1}{x}

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x \to 8 lim (\frac{8 x}{x - 8})

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\int x^{3} x^{2} + 24 d x

What is the derivative of ln(x/4) ?
The derivative of ln(x/4) is 1/x
What is the first derivative of ln(x/4) ?
The first derivative of ln(x/4) is 1/x