ST228 Weeks 9 and 10

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14 Terms

1
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What are sufficient conditions for differentiability in a neighbourhood of x and partial derivatives

2
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3
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Properties of derivatives

4
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What is a local maximum, local minimum and a critical point?

5
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6
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Hessian matrices to classify critical points

7
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8
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9
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What is a negative definite matrix?

10
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What is a non-degenerate saddle point? and the degenerate case?

11
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What is the discriminant? and how can it be used to find the type of critical point?

12
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Lagrange multiplier theorem and finding the critical points of L

13
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14
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