• # Revision:Exponentials and logarithms

TSR Wiki > Study Help > Subjects and Revision > Revision Notes > Mathematics > Exponentials and Logarithms

The exponential function is the function whose derivative is equal to its equation. In other words:

Because of this special property, the exponential function is very important in mathematics and crops up frequently.

Like most functions, the exponential has an inverse function, which is (pronounced 'log x').

## The Natural Logarithm

is also known as the natural logarithm. The derivative of is :

It therefore follows that:

.

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