Differentiate in respect to x

Youngmit asked Feb 12, 2022

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4 votes

Youngmit asked Feb 12, 2022

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16 votes

Answer:

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

Explanation:

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

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

Singh Singh answered Feb 16, 2022

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