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v.s

  • 2 years ago

Find the derivative of the function. y = [(x2 + 4)/(x2 − 4)]^3

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  1. ipm1988
    • 2 years ago
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    is it x^2 or 2x

  2. v.s
    • 2 years ago
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    \[(\frac{x ^{2}+4 }{x ^{2}-4 })^{3}\]

  3. ipm1988
    • 2 years ago
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    there are three ways to do this question which one did you try

  4. v.s
    • 2 years ago
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    quotient rule

  5. v.s
    • 2 years ago
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    \[3(\frac{x ^{2}+4 }{x ^{2}-4 })^{2}\]

  6. zepdrix
    • 2 years ago
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    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

  7. v.s
    • 2 years ago
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    \[3(\frac{x ^{2}+4 }{x ^{2}-4 })^{2}\]*\[\frac{ (2x)(x ^{2}-4)-(x ^{2}+4)(2x) }{ (x ^{2}-4)^{2} }\]

  8. v.s
    • 2 years ago
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    is it correct?

  9. cwrw238
    • 2 years ago
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    yes - now you need to multiply by the earlier result

  10. v.s
    • 2 years ago
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    do i have to expand?

  11. cwrw238
    • 2 years ago
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    no but check if you can simplify

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