Question

Differentiate in respect to x

Answer 1

Answer:

$e^{2x}(2x^3+3x^2)$

Step-by-step explanation:

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

$\frac{d}{dx}(x^3 e^{2x})=x^3\frac{d}{dx}(e^{2x})+\frac{d}{dx}(x^3)e^{2x}\\=x^3(2e^{2x})+3x^2e^{2x}\\=e^{2x}(2x^3+3x^2)$