What is the derivative of ln(1+x) ?

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

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

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

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derivative of

ln (1 + x)

\frac{1}{1 + x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= \frac{1}{1 + x}

\int 1 + cos (t) d t

\frac{1}{s ^{2} + 12 s + 100}

\int_{0}^{1} 1 + 12 x d x

x \to 7 lim (3)

\int (4 x + 2) e^{2 x} d x

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