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Exercise

$\frac{d}{dx}\left(2x\right)^{\ln\left(2x\right)}$

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Final answer to the exercise

$\frac{2\left(2x\right)^{\ln\left(2x\right)}\ln\left(2x\right)}{x}$

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  • Find the derivative using the definition
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  • Integrate by partial fractions
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