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

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

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

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

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derivative of

ln (\frac{x}{2})

\frac{1}{x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{x}

\int 3 x^{2} - 5 x + 2 d x

\frac{d}{d x} (\frac{cos ( x )}{x ^{2} + tan ( x )})

x \to 7 + lim (\frac{8}{7 - x})

y^{^{'}} + y = \frac{1}{( cos ( 2 x ) ) ^{\frac{3}{2}}}

\int \frac{x}{7 - x ^{2}} d x

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