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

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SUMMARY

The discussion centers on the process of taking the derivative and identifying critical points of a mathematical function. A participant mistakenly equated \(\frac{4}{x}\) with \(\frac{x^{-1}}{4}\), which was corrected by another user. The correction emphasizes the importance of proper algebraic manipulation in calculus. The conversation highlights the need for accuracy in derivative calculations to ensure correct identification of critical points.

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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.
 

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