Math Calculators, Lessons and Formulas

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Exponential Functions: (lesson 1 of 3)

## Exponential Functions - Introductions

If and , then the exponential function with base is given by .

### Natural Exponential Functions

1. The irrational number or .

2. For each real , .

3. is a natural exponential function.

1..

2..

### The hyperbolic cosine and sine functions

The hyperbolic cosine function is defined as

,

while the hyperbolic sine function is defined as

.

1. .

2. .

3.