CoreProExp & Log Functions
Natural Log ln(x)
f(x) = ln(x)
Overview
The natural logarithm is the inverse of eˣ. Its derivative is 1/x.
Domain
(0, +∞)
Range
(-∞, +∞)
Symmetry
Neither
Key Properties
1
Inverse of eˣ
2
d/dx[ln(x)] = 1/x
3
ln(e) = 1, ln(1) = 0
4
Vertical asymptote: x = 0
Key Insight
ln(x) grows very slowly — even slower than any power function. ln(1,000,000) ≈ 13.8.
Visualize Natural Log ln(x)
Interact with the graph, adjust parameters, and see how the function behaves in real time.