What is the derivative of ln(x/(2e)) ?

The derivative of ln(x/(2e)) is 1/x

What is the first derivative of ln(x/(2e)) ?

The first derivative of ln(x/(2e)) is 1/x

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\frac{d}{d x} (ln (\frac{x}{2 e}))

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (\frac{x}{2 e}))

Apply the chain rule:

\frac{1}{\frac{x}{2 e}} \frac{d}{d x} (\frac{x}{2 e})

= \frac{1}{\frac{x}{2 e}} \frac{d}{d x} (\frac{x}{2 e})

\frac{d}{d x} (\frac{x}{2 e}) = \frac{1}{2 e}

= \frac{1}{\frac{x}{2 e}} \cdot \frac{1}{2 e}

Simplify

\frac{1}{\frac{x}{2 e}} \cdot \frac{1}{2 e} : \frac{1}{x}

= \frac{1}{x}

f (x) = x^{2} + 9, (- 2, 13)

\int_{0}^{2} \frac{1}{x - 1} d x

\int (\frac{x}{x + 1}) d x

\frac{\partial}{\partial x} (y - 1)

x \to - \infty lim (5)

What is the derivative of ln(x/(2e)) ?
The derivative of ln(x/(2e)) is 1/x
What is the first derivative of ln(x/(2e)) ?
The first derivative of ln(x/(2e)) is 1/x