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Old November 13th, 2007, 11:33 PM
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Default Could be easy, but I am stumped.

If f(x)=3x^2-\frac{8}{x '}\ , find the positive value of x for which f(x+1)-f(x) is least.

I don't think I have ever seen a function with x' mixed up in there and I can't seem to even get started. Thanks in advance for any help.
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Old November 14th, 2007, 02:25 AM
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Originally Posted by jabroni1212 View Post
If f(x)=3x^2-\frac{8}{x '}\ , find the positive value of x for which f(x+1)-f(x) is least.

I don't think I have ever seen a function with x' mixed up in there and I can't seem to even get started. Thanks in advance for any help.
Are you sure that the prime on the x is not just a comma (not part of the formula at all)?
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Old November 14th, 2007, 09:20 AM
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I just tried it without the x' just as x, and I got the right anwer. Thanks. Wierd it really looks like an x'.

Last edited by jabroni1212; November 14th, 2007 at 09:34 AM.
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Old November 14th, 2007, 09:27 AM
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I just tried it without the x' just as x, and it doesn't seem to minimize. I am pretty sure it is as I wrote above.
3x^2 - \frac{8}{x} has a (relative) minimum. You just have to work at it a bit.

Otherwise, I'd just treat the x' as a constant.

-Dan
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Old November 14th, 2007, 11:53 AM
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Thats a disappointing answer, I had several theories, but was keeping my mouth shut until someone more educated than me found the correct answer. :P
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