natalia28475728284 natalia28475728284

15-09-2021
Mathematics

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differentiate in respect to x

differentiate in respect to x class=

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ivycoveredwalls ivycoveredwalls

15-09-2021

Answer:

[tex]e^{2x}(2x^3+3x^2)[/tex]

Step-by-step explanation:

Use the Product Rule (uv)' = uv' + u'v

[tex]\frac{d}{dx}(x^3 e^{2x})=x^3\frac{d}{dx}(e^{2x})+\frac{d}{dx}(x^3)e^{2x}\\=x^3(2e^{2x})+3x^2e^{2x}\\=e^{2x}(2x^3+3x^2)[/tex]

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