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91004775

  • 3 years ago

differentiate the following equation sqrt(5)/(x^4)

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  1. abb0t
    • 3 years ago
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    \(\frac{ \sqrt{5} }{ x^4 } = \sqrt{5} \frac{ d }{ dx }(x^{-4})\) the \(\sqrt{5}\) is a constant and can just be factored out.

  2. 91004775
    • 3 years ago
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    so would my final answer be 4x^3sqrt(5)

  3. inkyvoyd
    • 3 years ago
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    no... follow the power rule for differentiation: \(\frac{d}{dx}x^n=nx^{n-1}\) remember that n=-4

  4. dany0713
    • 3 years ago
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    -4sqrt(5)/x^5

  5. 91004775
    • 3 years ago
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    oh ok can we leave the exponent as a negative

  6. abb0t
    • 3 years ago
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    yes.

  7. abb0t
    • 3 years ago
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    Or you can simplify it to make it look "nicer". Since you should recognize that: \(\huge a^{-n} = \frac{ 1 }{ a^n }\)

  8. 91004775
    • 3 years ago
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    Thanks

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