Finding derivative of 1/x^n

  • Thread starter mbrmbrg
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  • #1
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If you want to take the derivative of [tex]\frac{1}{x^n}[/tex] do you turn it into x^-n and go from there or somhow use the fact that the anti derivative of 1/x is ln x?
 
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  • #2
HallsofIvy
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The fact that "the anti derivative of 1/x is ln x" is irrelevant to the anti-derivative of [itex]\frac{1}{x^n}[/itex]. Write as x-n. Because [itex]\frac{1}{x^n}= x^{-n}[/itex], the anti-derivative of 1 is the anti-derivative of the other.
 
  • #3
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Thanks! :smile:
 

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