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

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

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

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

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derivative of

ln (t + 1)

\frac{1}{t + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= \frac{1}{t + 1}

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