Differentiate the following functions with respect to `x` `e^(3x)cos2x`

Explanation

Given,



`y=e^{3 pi} cos 2 x`



Applying multiplication and chain rule,



`frac{d y}{d x}=e^{3 x} frac{d(cos 2 x)}{d x}+cos 2 x frac{d(e^{3 x})}{d x} `


`=e^{3 x} cdot(-sin 2 x) cdot 2+cos 2 x cdot e^{3 x} cdot 3 `


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