What is the derivative of ln(3x+7) ?

The derivative of ln(3x+7) is 3/(3x+7)

What is the first derivative of ln(3x+7) ?

The first derivative of ln(3x+7) is 3/(3x+7)

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derivative of

ln (3 x + 7)

\frac{3}{3 x + 7}

Solution steps

\frac{d}{d x} (ln (3 x + 7))

Apply the chain rule:

\frac{1}{3 x + 7} \frac{d}{d x} (3 x + 7)

= \frac{1}{3 x + 7} \frac{d}{d x} (3 x + 7)

\frac{d}{d x} (3 x + 7) = 3

= \frac{1}{3 x + 7} \cdot 3

Simplify

\frac{1}{3 x + 7} \cdot 3 : \frac{3}{3 x + 7}

= \frac{3}{3 x + 7}

What is the derivative of ln(3x+7) ?
The derivative of ln(3x+7) is 3/(3x+7)
What is the first derivative of ln(3x+7) ?
The first derivative of ln(3x+7) is 3/(3x+7)