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Differentiate in respect to x

Differentiate in respect to x-example-1

1 Answer

1 vote

Answer:


e^(2x)(2x^3+3x^2)

Explanation:

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


(d)/(dx)(x^3 e^(2x))=x^3(d)/(dx)(e^(2x))+(d)/(dx)(x^3)e^(2x)\\=x^3(2e^(2x))+3x^2e^(2x)\\=e^(2x)(2x^3+3x^2)

User Daniel Sixl
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