dominicmulenga23236 dominicmulenga23236

17-08-2022
Mathematics

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use the product rule to differentiate xe^×sinx

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LammettHash LammettHash

17-08-2022

By the product rule,

[tex]\dfrac{d(x e^x \sin(x))}{dx} = \dfrac{dx}{dx} e^x \sin(x) + x \dfrac{de^x}{dx} \sin(x) + x e^x \dfrac{d\sin(x)}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = \boxed{e^x \sin(x) + x e^x \sin(x) + x e^x \cos(x)}[/tex]

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