# What is the first derivative and second derivative of #x^4 - 1#?

##### 1 Answer

May 31, 2016

#### Explanation:

to find the first derivative we must simply use three rules:

*1. Power rule*

*2. Constant rule*

*3. Sum and difference rule*

the **first derivative** results in:

which simplifies to

to find the **second derivative**, we must derive the first derivative by again applying the power rule which results in:

you can keep going if you like:

third derivative =

fourth derivative =

fifth derivative =

sixth derivative =