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Differentiate the following function:

 

\(y = e^{3x}sin3x\)

 

Please help...

 Aug 5, 2020
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\(\frac{d}{dx}\left(e^{3x}\sin \left(3x\right)\right)\\ \frac{d}{dx}\left(e^{3x}\right)\sin \left(3x\right)+\frac{d}{dx}\left(\sin \left(3x\right)\right)e^{3x}\\ \frac{d}{dx}\left(e^{3x}\right)=e^{3x}\cdot \:3\\ \frac{d}{dx}\left(\sin \left(3x\right)\right)=\cos \left(3x\right)\cdot \:3\\ e^{3x}\cdot \:3\sin \left(3x\right)+\cos \left(3x\right)\cdot \:3e^{3x}\\\)

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 Aug 5, 2020

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