Final Answer
$\left(\frac{d}{dx}\right)^5\left(x\right)\cos\left(x^3\right)$
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Step-by-step Solution
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1
Apply the property of the quotient of two powers with the same exponent, inversely: $\frac{a^m}{b^m}=\left(\frac{a}{b}\right)^m$, where $m$ equals $5$
$\left(\frac{d}{dx}\right)^5\left(x\right)\cos\left(x^3\right)$
Final Answer
$\left(\frac{d}{dx}\right)^5\left(x\right)\cos\left(x^3\right)$