$\frac{d}{dx}\left(3\sin\left(2x\right)^{\ln\left(4x\right)}\right)=3\left(\frac{\ln\left(\sin\left(2x\right)\right)}{x}+\frac{2\ln\left(4x\right)\cos\left(2x\right)}{\sin\left(2x\right)}\right)\sin\left(2x\right)^{\ln\left(4x\right)}$
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