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The <em>directional</em> derivative of at the given point in the direction indicated is
.
<h3>How to calculate the directional derivative of a multivariate function</h3>
The <em>directional</em> derivative is represented by the following formula:
(1)
Where:
- Gradient evaluated at the point
.
- Directional vector.
The gradient of is calculated below:
(2)
Where and
are the <em>partial</em> derivatives with respect to
and
, respectively.
If we know that , then the gradient is:
If we know that , then the directional derivative is:
The <em>directional</em> derivative of at the given point in the direction indicated is
.
To learn more on directional derivative, we kindly invite to check this verified question: brainly.com/question/9964491