# nth Derivative

If the derivative of a function, the **first derivative**,** f'(x)**, is differentiated, a new function is obtained called the **second derivative**,** f''(x)**.

If this function is differentiated again, a **third derivative, f'''(x)**, is obtained.

If the **third derivative, f'''(x)**, is differntiated, the **fourth derivative, f' ^{v}(x)**, is obtained. This process can continue and these resultant functions are referred to as

**higher order derivatives.**

#### Examples

Calculate the 1st, 2nd, 3rd and 4th derivatives of:

## nth Derivative

A general formula for all of the successive derivatives exists. This formula is called the **nth derivative, f' ^{n}(x)**.

#### Examples

Calculate the nth derivative of:

Subject

Site