Taking the derivative and finding critical points did I get it right?

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Femme_physics
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Hey guys, can you just check and tell me if I took the derivative and found the critical points of the function correctly? It strikes as though I've made a mistake somewhere.

http://img405.imageshack.us/img405/4098/funccrit.jpg
 
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Well, for one thing, [tex]\frac{4}{x}[/tex] is not equal to [tex]\frac{x^{-1}}{4}[/tex]. Fix that before you do anything.
 
Ah. I'm stupid. I forgot my ways. I'll amend that :)

Thanks.