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

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abb0t
 2 years ago
Best ResponseYou've already chosen the best response.2\(\frac{ \sqrt{5} }{ x^4 } = \sqrt{5} \frac{ d }{ dx }(x^{4})\) the \(\sqrt{5}\) is a constant and can just be factored out.

91004775
 2 years ago
Best ResponseYou've already chosen the best response.0so would my final answer be 4x^3sqrt(5)

inkyvoyd
 2 years ago
Best ResponseYou've already chosen the best response.1no... follow the power rule for differentiation: \(\frac{d}{dx}x^n=nx^{n1}\) remember that n=4

91004775
 2 years ago
Best ResponseYou've already chosen the best response.0oh ok can we leave the exponent as a negative

abb0t
 2 years ago
Best ResponseYou've already chosen the best response.2Or you can simplify it to make it look "nicer". Since you should recognize that: \(\huge a^{n} = \frac{ 1 }{ a^n }\)
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