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

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

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

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

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

\frac{2}{3 + 2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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