What is the derivative of ln(x/6) ?

The derivative of ln(x/6) is 1/x

What is the first derivative of ln(x/6) ?

The first derivative of ln(x/6) is 1/x

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\frac{d}{d x} (ln (\frac{x}{6}))

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (\frac{x}{6}))

Apply the chain rule:

\frac{1}{\frac{x}{6}} \frac{d}{d x} (\frac{x}{6})

= \frac{1}{\frac{x}{6}} \frac{d}{d x} (\frac{x}{6})

\frac{d}{d x} (\frac{x}{6}) = \frac{1}{6}

= \frac{1}{\frac{x}{6}} \cdot \frac{1}{6}

Simplify

\frac{1}{\frac{x}{6}} \cdot \frac{1}{6} : \frac{1}{x}

= \frac{1}{x}

\int csc (π x) cot (π x) d x

e^{- t} \cdot cos (2 t)

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

\int x^{\frac{3}{4}} + 6 d x

y^{^{'''}} - 6 y^{^{''}} - 7 y^{^{'}} = 0

What is the derivative of ln(x/6) ?
The derivative of ln(x/6) is 1/x
What is the first derivative of ln(x/6) ?
The first derivative of ln(x/6) is 1/x