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- - **Extremum**
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ExtremumI've got another interesting (I hope) problem and I hope you'll help me to solve it :) Well it goes like this: Determine all points, where function f has it's extremums, and define whether it is maximum or minimum, if: |

Re: ExtremumThere is a theorem for twice-differentiable functions f(x, y) that ifat at at then f(x, y) has a relative maximum at (x, y), and similarly a relative minimum if . (I believe it can be proved with Taylor's theorem.) |

Re: ExtremumThink about partial derivatives. ...[1] ...[2] Set each to 0. Solve [1] for y and sub into [2]. Then, solve for x. You can get y by subbing the x's back into the y you found. Check the critical points by using the second partials derivative test. It can be found in any calc book. |

Re: ExtremumThank you :) You are really helpful guys :) |

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