c6515f…: “Along the important theorem”

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Let $R(x) = \left (4x^5-2x\right ) \left (3x+e^x\right )$. Compute:

\[ \dd {x}R(x) \begin{prompt}=\answer {(20x^4-2)(3x+e^x)+(4x^5-2x)(3+e^x)}\end{prompt} \]