## Mathematical Analysis## Differential Calculus |

## What is the standard notation for the derivative? |

The following represents the definition of the derivative of *f(x)* (note: in order for the limit to exist, both and —must exist and be equal; thus, the function must be continuous):

For *f* (x)’s derivative at point *x*_{0}:

For *f*(*x*)’s derivative at *x = a*: