The position of an object is observed to be described by the equation
,
where s is in meters. We wish to determine the equation of its velocity, , and its
acceleration, . We can use either of two methods:

1. Multiply out the square and differentiate, using: the Power, Scalar Multiple, and Sum rules

, and

2. For the second approach, we can use the Chain Rule:

, and

Of course we get the same result with both approaches.