# The exponential function in Octave

In this lesson I'll explain how to use the exponential function on Octave.

**What is the exponential function? **The exponential function is the function $$ f(x)=e^x $$ The base of the power is the number e=2.7183, while x is the independent variable. The exponential function is defined for every real number. It is an increasing function and is equal to 1 for x=0.

In Octave there is a special function for writing the exponential function. It is the function **exp(x)**

exp(x)

I'll give you some practical examples

Type **exp(1)**.

The result is Nepero's number because e^{1}=2.7183.

>> exp(1)

ans = 2.7183

You can also get the same result by typing **e^1**

>> e^1

ans = 2.7183

Now, type **exp(0)**

The result is 1 because e^{0}=1

>> exp(0)

ans = 1

You also get the same result by typing **e^0**

>> e^0

ans = 1

Now, type **exp(-1)**

The result is an even smaller number, because e^{x} tends to zero as x→-∞

>> exp(-1)

ans = 0.36788

You can get the same result by typing the power **e^(-1)**

>> e^(-1)

ans = 0.36788