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3.7: Regla del producto
https://espanol.libretexts.org/Matematicas/Calculo_informal_con_aplicaciones_a_las_ciencias_biologicas_y_ambientales_(Seacrest)/03%3A_Reglas_para_Derivados/3.07%3A_Regla_del_producto
$\begin{align*} \frac{d}{dx} x \cdot e^x & = \left( \frac{d}{dx} x \right) \cdot \left( \frac{d}{dx} e^x \right) \\ & = 1 \cdot e^x = e^x \end{align*}$ \({\color{blue} f} {\color{red} g'} + {\color{... $\begin{align*} \frac{d}{dx} x \cdot e^x & = \left( \frac{d}{dx} x \right) \cdot \left( \frac{d}{dx} e^x \right) \\ & = 1 \cdot e^x = e^x \end{align*}$ ${\color{blue} f} {\color{red} g'} + {\color{red} g} {\color{blue} f'} = {\color{blue} x} {\color{red} e^x} + {\color{red} e^x} {\color{blue} (1)} = \boxed{x e^x + e^x}.$

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