What is the derivative of ln(2x+4) ?

The derivative of ln(2x+4) is 1/(x+2)

What is the first derivative of ln(2x+4) ?

The first derivative of ln(2x+4) is 1/(x+2)

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\frac{d}{d x} (ln (2 x + 4))

\frac{1}{x + 2}

Solution steps

\frac{d}{d x} (ln (2 x + 4))

Apply the chain rule:

\frac{1}{2 x + 4} \frac{d}{d x} (2 x + 4)

= \frac{1}{2 x + 4} \frac{d}{d x} (2 x + 4)

\frac{d}{d x} (2 x + 4) = 2

= \frac{1}{2 x + 4} \cdot 2

Simplify

\frac{1}{2 x + 4} \cdot 2 : \frac{1}{x + 2}

= \frac{1}{x + 2}

What is the derivative of ln(2x+4) ?
The derivative of ln(2x+4) is 1/(x+2)
What is the first derivative of ln(2x+4) ?
The first derivative of ln(2x+4) is 1/(x+2)