What is the derivative of f(x)=ln(2x) ?

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

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

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

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derivative of

f (x) = ln (2 x)

\frac{1}{x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{x}

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