# Calculus 2 : Derivatives of Vectors

## Example Questions

### Example Question #11 : Derivatives Of Vectors

We define the vector .

What is the  derivative of ?

Explanation:

To obtain the derivative we need to compute the derivative of each component. Since we are looking for the derivative of order n we have to differentiate each component n times to obtain the required result.

We know that :

The nth derivatives of the constant is 0.

Thereore we obtain:

### Example Question #12 : Derivatives Of Vectors

Let .

What is the third derivative of ?

Explanation:

To obtain the derivative, we simply differentiate 3 times each of the components.

Using the Chain Rule and the Power Rule we have :

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