JavaScript Math.expm1()

// calculate e (Euler's constant) 
// raised to the power of 2
// and then subtracted by 1
var value = Math.expm1(2);

console.log(value); 

// Output : 6.38905609893065  

expm1() Syntax

The syntax of the expm1() method is:

Math.expm1(x)

Here, expm1() is a static method. Hence, we need to access the method using the class name, Math.

expm1() Parameters

The expm1() method takes in:

• x - A number

expm1() Return Value

The expm1() method returns:

• e^x - 1 for argument x, where e is Euler's constant (2.71828).
• NaN for non-numeric arguments.

Example 1: JavaScript Math.expm1()

// calculate e raised to the power of 1 minus 1
var value1 = Math.expm1(1);

console.log(value1); 

// calculate e raised to the power of 2 minus 1
var value2 = Math.expm1(2);

console.log(value2); 

// calculate e raised to the power of 5 minus 1
var value3 = Math.expm1(5);

console.log(value3); 

Output

1.718281828459045
6.38905609893065
147.4131591025766

In the above example,

1. Math.expm1(1) - computes e¹ - 1
2. Math.expm1(2) - computes e² - 1
3. Math.expm1(5) - computes e⁵ - 1

Example 2: expm1() With 0

// calculate e raised to the power of 0 minus 1
var value = Math.expm1(0);

console.log(value);

// Output: 0

In the above example, we have used the expm1() method to compute the e (Euler's constant) raised to the power of 0 and then subtracted by 1 i.e. e⁰ - 1.

The output 0 indicates the following mathematical result:

e0 - 1 = 0

Example 3: expm1() With Negative Numbers

// calculate e raised to the power of -1 minus 1
var value = Math.expm1(-1);

console.log(value);

// Output: -0.6321205588285577

In the above example, we have used the expm1() method to compute the e (Euler's constant) raised to the power of -1 minus 1 i.e. e^-1 - 1.

The output -0.6321205588285577 indicates that e^-1 - 1 is a negative number. This is because e-1 is 0.36787944117144233, and subtracting 1 from it makes it negative.

Recommended Readings:

• Math.exp()
• Math.log()