Can a Function Equal Zero with Non-Zero and Unknown?

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If I have a non-zero on top, and an unknown at the bottom, can this function = 0?
 
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No, a rational fraction can only be zero if the numerator becomes zero...
 
Aha! So if that happens with derivatives, there are no critical points, right?
 
Right!
 
Math is groovy :)

Thanks!
 

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