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Study23 Group Title

How would I further simplify the following? \(\ \large (1)(r^2+1)^{-\frac{1}{2}}+r(-\frac{1}{2}(r^2+1))^{-\frac{3}{2}}\)

  • 2 years ago
  • 2 years ago

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  1. satellite73 Group Title
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    get rid of the 1 for a start

    • 2 years ago
  2. Study23 Group Title
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    Yup, just did that

    • 2 years ago
  3. satellite73 Group Title
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    i bet this is some sort of derivative from a produce rule maybe

    • 2 years ago
  4. satellite73 Group Title
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    and you took literally the power rule maybe it would be best to write as \[\frac{1}{\sqrt{r^2+1}}+\frac{r}{2\sqrt{r+1}^3}\]

    • 2 years ago
  5. satellite73 Group Title
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    now if you want to add these up, multiply the first fraction top and bottom by \[2(r^2+1)\]

    • 2 years ago
  6. satellite73 Group Title
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    oh it was a subtraction, no matter works the same

    • 2 years ago
  7. Study23 Group Title
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    @satellite73 Yup! It's from a product rule! Nice!

    • 2 years ago
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