# Calculus 2 : Derivatives of Vectors

## Example Questions

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### Example Question #31 : Derivatives Of Vectors      Explanation:

In general:

If ,

then Derivative rules that will be needed here:

• Taking a derivative on a term, or using the power rule, can be done by doing the following: • When taking derivatives of sums, evaluate with the sum rule which states that the derivative of the sum is the same as the sum of the derivative of each term: • Special rule when differentiating an exponential function: , where k is a constant.

In this problem,    Put it all together to get  ### Example Question #501 : Parametric, Polar, And Vector      Explanation:

In general:

If ,

then Derivative rules that will be needed here:

• Taking a derivative on a term, or using the power rule, can be done by doing the following: • Special rule when differentiating an exponential function: , where k is a constant.

In this problem,    Put it all together to get  ### Example Question #502 : Parametric, Polar, And Vector      Explanation:

In general:

If ,

then Derivative rules that will be needed here:

• Taking a derivative on a term, or using the power rule, can be done by doing the following: In this problem,    Put it all together to get  ### Example Question #503 : Parametric, Polar, And Vector      Explanation:

In general:

If ,

then Derivative rules that will be needed here:

• Special rule when differentiating an exponential function: , where k is a constant.

In this problem,    Put it all together to get  ### Example Question #504 : Parametric, Polar, And Vector      Explanation:

In general:

If ,

then Derivative rules that will be needed here:

• Special rule when differentiating an exponential function: , where k is a constant.

In this problem,    Put it all together to get  ### Example Question #505 : Parametric, Polar, And Vector Calculate      Explanation:

In general:

If ,

then Derivative rules that will be needed here:

• Taking a derivative on a term, or using the power rule, can be done by doing the following: • When taking derivatives of sums, evaluate with the sum rule which states that the derivative of the sum is the same as the sum of the derivative of each term: • Special rule when differentiating an exponential function: , where k is a constant.

In this problem, Use the sum rule and the power rule on each of the components.   Put it all together to get  1 2 4 Next → 