anonymous
  • anonymous
differentiate the following equation sqrt(5)/(x^4)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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abb0t
  • abb0t
\(\frac{ \sqrt{5} }{ x^4 } = \sqrt{5} \frac{ d }{ dx }(x^{-4})\) the \(\sqrt{5}\) is a constant and can just be factored out.
anonymous
  • anonymous
so would my final answer be 4x^3sqrt(5)
inkyvoyd
  • inkyvoyd
no... follow the power rule for differentiation: \(\frac{d}{dx}x^n=nx^{n-1}\) remember that n=-4

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anonymous
  • anonymous
-4sqrt(5)/x^5
anonymous
  • anonymous
oh ok can we leave the exponent as a negative
abb0t
  • abb0t
yes.
abb0t
  • abb0t
Or you can simplify it to make it look "nicer". Since you should recognize that: \(\huge a^{-n} = \frac{ 1 }{ a^n }\)
anonymous
  • anonymous
Thanks

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