# 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 :      ### Example Question #13 : Derivatives Of Vectors      Explanation:   ### Example Question #14 : Derivatives Of Vectors      Explanation:   ### Example Question #15 : Derivatives Of Vectors      Explanation:   ### Example Question #16 : Derivatives Of Vectors      Explanation:   ### Example Question #17 : Derivatives Of Vectors      Explanation:   ### Example Question #141 : Vector      Explanation:   ### Example Question #142 : Vector      Explanation:   ### Example Question #143 : Vector          