How it works

Euler's number e is defined so that the derivative of e^x is e^x. For any real x, e^x is computed here as exp(x).

The Formula

e ≈ 2.718281828459045
For exponent x: result = e^x = exp(x).

Worked Example

1. Example: x = 1

   e^1 = e ≈ 2.71828.

2. Example: x = 0

   e^0 = 1.

3. Example: x = ln(10)

   e^(ln 10) = 10 (inverse of natural log).

Tips, Assumptions & Limitations

• Use negative x for values between 0 and 1 (decay).
• Large |x| may overflow or underflow in floating point.
• Also see the logarithm calculator for ln and related bases.