91004775
differentiate the following equation sqrt(5)/(x^4)



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abb0t
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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.

91004775
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so would my final answer be 4x^3sqrt(5)

inkyvoyd
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no... follow the power rule for differentiation: \(\frac{d}{dx}x^n=nx^{n1}\) remember that n=4

dany0713
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4sqrt(5)/x^5

91004775
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oh ok can we leave the exponent as a negative

abb0t
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yes.

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

91004775
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Thanks