anonymous
  • anonymous
find the derivative of y=(x²+5-1/x²)² my steps: y'=2[x²+5-x^(-2)](2x+2x) =4x³+20x-4x^(-1) but the answer given is 4x³+20x+20/x³-4/x^5 why am i wrong?
Mathematics
jamiebookeater
  • jamiebookeater
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Mimi_x3
  • Mimi_x3
\[y=\left(\frac{x^{2}+5-1}{x^{2}}\right)^{2} \]??
anonymous
  • anonymous
\[x^2+5-\frac{1}{x^2}\]
anonymous
  • anonymous
your step was wrong.. at first

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anonymous
  • anonymous
why?
lgbasallote
  • lgbasallote
he's right....
lgbasallote
  • lgbasallote
well one minor mistake
anonymous
  • anonymous
what have i done wrong?
anonymous
  • anonymous
it is derivative of y = (x^2 + 5 - 1)^2 * (x^-2)
lgbasallote
  • lgbasallote
the derivative of x^(-2) is not -2x it's -2x^-3
lgbasallote
  • lgbasallote
so just change your 2x there with 2x^-3 and you're fine. redo the rest of the solution
anonymous
  • anonymous
so you use if y = fg y' = f'g + fg'
anonymous
  • anonymous
lgbasallote, i get it, thanks!
lgbasallote
  • lgbasallote
welcome. also...don't forget you still have a 2 outside..you have to distribute it to the equation too
anonymous
  • anonymous
try use chain rule to solve it
anonymous
  • anonymous
the eq is not a ratio..
anonymous
  • anonymous
damn..

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