anonymous
  • anonymous
Find the derivative of the function. y = [(x2 + 4)/(x2 − 4)]^3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
is it x^2 or 2x
anonymous
  • anonymous
\[(\frac{x ^{2}+4 }{x ^{2}-4 })^{3}\]
anonymous
  • anonymous
there are three ways to do this question which one did you try

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anonymous
  • anonymous
quotient rule
anonymous
  • anonymous
\[3(\frac{x ^{2}+4 }{x ^{2}-4 })^{2}\]
zepdrix
  • zepdrix
So that is the derivative of the outer function. Looks good so far. Now you multiply by the derivative of the inside? So what'd you get for your quotient rule? :D
anonymous
  • anonymous
\[3(\frac{x ^{2}+4 }{x ^{2}-4 })^{2}\]*\[\frac{ (2x)(x ^{2}-4)-(x ^{2}+4)(2x) }{ (x ^{2}-4)^{2} }\]
anonymous
  • anonymous
is it correct?
cwrw238
  • cwrw238
yes - now you need to multiply by the earlier result
anonymous
  • anonymous
do i have to expand?
cwrw238
  • cwrw238
no but check if you can simplify

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