What is the derivative of ln(3+4x) ?

The derivative of ln(3+4x) is 4/(3+4x)

What is the first derivative of ln(3+4x) ?

The first derivative of ln(3+4x) is 4/(3+4x)

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\frac{d}{d x} (ln (3 + 4 x))

\frac{4}{3 + 4 x}

Solution steps

\frac{d}{d x} (ln (3 + 4 x))

Apply the chain rule:

\frac{1}{3 + 4 x} \frac{d}{d x} (3 + 4 x)

= \frac{1}{3 + 4 x} \frac{d}{d x} (3 + 4 x)

\frac{d}{d x} (3 + 4 x) = 4

= \frac{1}{3 + 4 x} \cdot 4

Simplify

\frac{1}{3 + 4 x} \cdot 4 : \frac{4}{3 + 4 x}

= \frac{4}{3 + 4 x}

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What is the derivative of ln(3+4x) ?
The derivative of ln(3+4x) is 4/(3+4x)
What is the first derivative of ln(3+4x) ?
The first derivative of ln(3+4x) is 4/(3+4x)