The math.exp() function in Python is used to calculate the exponential of a given number. Specifically, it computes $e^x$, where $e$ is Euler's number (approximately 2.71828), and $x$ is the input value.

Syntax

import math
result = math.exp(x)

• x: A numeric expression (integer or float) for which you want to calculate the exponential.

Return Value

• Returns the value of $e^x$ as a float.

Examples

1. Calculating the exponential of a positive number:

   import math
   
   result = math.exp(1)  # e^1
   print(result)  # Output: 2.718281828459045 (approximately)
   

2. Calculating the exponential of zero: The exponential of zero is always 1.

   result = math.exp(0)
   print(result)  # Output: 1.0
   

3. Calculating the exponential of a negative number:

   result = math.exp(-1)  # e^-1
   print(result)  # Output: 0.36787944117144233 (approximately)
   

4. Calculating the exponential of a large number:

   result = math.exp(10)
   print(result)  # Output: 22026.465794806718 (approximately)
   

5. Using math.exp() in mathematical expressions: You can use math.exp() in combination with other mathematical functions:

   value = 2
   result = math.exp(value) + 5
   print(result)  # Output: 7.718281828459045 (approximately)
   

Summary

• The math.exp() function computes the exponential of a number, returning $e^x$.
• The result is always a float.
• This function is widely used in various scientific and engineering applications, including calculus, compound interest calculations, and growth models in population dynamics and finance.