Solve ln(x)

Step-by-step solution

1. The natural logarithm is one of the fundamental derivatives every calculus student must memorise.

2. By definition / from the Fundamental Theorem applied to $\int \frac{1}{t} dt$: $\frac{d}{dx}\ln(x) = \frac{1}{x}$.

3. Note the domain restriction: $\ln(x)$ is defined only for $x > 0$, so the derivative is valid for $x > 0$.