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Study23

  • 2 years ago

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

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  1. satellite73
    • 2 years ago
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    get rid of the 1 for a start

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

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

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

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

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

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

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