Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
Euler's number, denoted as "e", is a mathematical constant that represents the base of the natural logarithm. It is an irrational number approximately equal to 2.71828.
Related terms
Exponential function: An exponential function is a mathematical function where the independent variable appears in the exponent. It can be written in the form f(x) = a * e^(kx), where "a" and "k" are constants.
Initial value: In calculus, initial value refers to the value of a function or equation at a specific starting point or initial condition. It helps determine the behavior and characteristics of the function over time.
The natural logarithm, denoted as ln(x), is the inverse operation of raising Euler's number (e) to a power. It gives us the exponent needed to obtain a certain value when e is raised to that power.