What is the derivative of ln(2x+3) ?

The derivative of ln(2x+3) is 2/(2x+3)

What is the first derivative of ln(2x+3) ?

The first derivative of ln(2x+3) is 2/(2x+3)

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derivative of

ln (2 x + 3)

\frac{2}{2 x + 3}

Solution steps

\frac{d}{d x} (ln (2 x + 3))

Apply the chain rule:

\frac{1}{2 x + 3} \frac{d}{d x} (2 x + 3)

= \frac{1}{2 x + 3} \frac{d}{d x} (2 x + 3)

\frac{d}{d x} (2 x + 3) = 2

= \frac{1}{2 x + 3} \cdot 2

Simplify

\frac{1}{2 x + 3} \cdot 2 : \frac{2}{2 x + 3}

= \frac{2}{2 x + 3}

What is the derivative of ln(2x+3) ?
The derivative of ln(2x+3) is 2/(2x+3)
What is the first derivative of ln(2x+3) ?
The first derivative of ln(2x+3) is 2/(2x+3)