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**tony123****Member**- Registered: 2007-08-03
- Posts: 197

Find the minimum value of the function

.*Last edited by tony123 (2007-11-16 05:47:59)*

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

Just by looking at it, the smallest I can see is 501, when x=-1.

No idea how to do it "properly" though.

Why did the vector cross the road?

It wanted to be normal.

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

If *x* ≠ 1,

Indeed, as f(1) isnt the mininum value, you might as well use this formula. Also it appears that f(*x*) is always positive, so you can probably ignore the modulus sign as well.

I then used differentiation and verified that f(−1) is the minimum value. Well, maybe theres a less complicated way to do this.

*Last edited by JaneFairfax (2007-11-16 08:31:40)*

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