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

The derivative of ln(3+x) is 1/(3+x)

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

The first derivative of ln(3+x) is 1/(3+x)

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

\frac{1}{3 + x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= \frac{1}{3 + x}

\frac{d}{d x} ((3 x + 4) x^{2})

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

\frac{d}{d x} (1000 (1 - e^{- 0.15 x}))

What is the derivative of ln(3+x) ?
The derivative of ln(3+x) is 1/(3+x)
What is the first derivative of ln(3+x) ?
The first derivative of ln(3+x) is 1/(3+x)