The Natural Exponential Function is a special mathematical function denoted as e^x, where e is a constant approximately equal to 2.71828. This function is unique because it grows faster than any polynomial function as x increases. It is widely used in various fields, including finance, biology, and physics, to model growth processes, such as population growth or compound interest.
One of the key properties of the natural exponential function is that its derivative is equal to the function itself. This means that the rate of change of e^x at any point is the same as its value at that point. This remarkable feature makes it an essential tool in calculus and helps explain many natural phenomena.