The Gradient
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Linear Algebra › The Gradient
Questions 1 - 10
1
Explanation
2
Explanation
3
Explanation
4
Evaluate the gradient vector of at
.
Explanation
The gradient of is the vector of partial first derivatives
. Find these derivatives:
Evaluate and
:
The gradient vector is
5
Explanation
6
Explanation
7
Explanation
8
Explanation
9
Explanation
10
What is the the gradient vector of the following function?
Explanation
Recall that
All we need to do is calculate 3 partial derivatives, and put them into this form.
Put these into vector form to get
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