# How do you find the derivative of the function: #f(x) = x^3 - 3x^2 - 1#?

##### 1 Answer

#### Explanation:

This function involves the most commonly used rule for taking derivatives: the **Power Rule**. It states that whenever you have a power for a variable, that is automatically considered a product of the variable with the power being subtracted by one. Here is a general form:

For the function

Every time you have constants like

Thus by putting it together,

If you use the **Limit Definition** with

Solving for the equation gives you the same answer (though a long work process). The Power Rule and other rules for derivatives give you the shortcuts to solve for even the most complicated problems in using the Limit Definition.