The exponential function with base e
is the inverse of the neperian logarithm. It represents a function that grows rapidly. The x
is the power of e
. Let's use Matplotlib to represent it.
Display of the function
The exponential function is used to define the real power of a strictly positive number a.
Amusement Park I
The comic strip represents characters on a roller coaster. First, the start is slow, then as the speed increases with a rise, and finally, in the last plate of the comic strip, the ride is launched at high speed. Like an exponential function does.
Code
1x = np.linspace(-3,3,100)
2
3plt.plot(x,np.exp(x))
4plt.xlabel('x')
5plt.ylabel('$e^x$')
6
7plt.grid()
8
9plt.title('Exponential', fontsize=12)
10plt.savefig('exponential', bbox_inches='tight')
11
12plt.show()

Formula
The exponential function is a function that grows very fast and is always positive. It can be easily represented with Matplotlib.
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