CoreProExp & Log Functions
Natural Exp eˣ
f(x) = eˣ
Overview
The natural exponential is its own derivative — the unique function where f'(x) = f(x).
Domain
(-∞, +∞)
Range
(0, +∞)
Symmetry
Neither
Key Properties
1
f'(x) = eˣ (self-derivative)
2
e ≈ 2.71828
3
Horizontal asymptote: y = 0
4
Passes through (0, 1)
Key Insight
eˣ is the only function equal to its own derivative. This makes it fundamental in differential equations.
Visualize Natural Exp eˣ
Interact with the graph, adjust parameters, and see how the function behaves in real time.