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Example Questions
Example Question #1 : Directional Derivatives
Calculate , where
in the direction of
.
The first thing to check is to see if the direction vector is a unit vector.
In order to see if it is a unit vector, we need to take the magnitude and see if it is equal to .
Now we are going to take partial derivatives in respect to ,
, and then
, and then multiply each partial by the component of the unit vector that corresponds to it.
The formula is:
Example Question #1 : Directional Derivatives
Calculate , where
in the direction of
.
The first thing to check is to see if the direction vector is a unit vector.
In order to see if it is a unit vector, we need to take the magnitude and see if it is equal to .
Now we are going to take partial derivatives in respect to ,
, and then
, and then multiply each partial by the component of the unit vector that corresponds to it.
The formula is:
Example Question #3 : Directional Derivatives
Example Question #1071 : Partial Derivatives
Example Question #1072 : Partial Derivatives
Example Question #1073 : Partial Derivatives
Example Question #1074 : Partial Derivatives
Example Question #1075 : Partial Derivatives
Example Question #1076 : Partial Derivatives
Example Question #1077 : Partial Derivatives
All Calculus 3 Resources
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