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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
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$\frac{d}{dy}\left(x^3\right)e^{\left(x+1\right)}+x^3\frac{d}{dy}\left(e^{\left(x+1\right)}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of x^3e^(x+1) using the constant rule. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative of the constant function (x^3) is equal to zero. The derivative of the constant function (e^{\left(x+1\right)}) is equal to zero. Simplify the derivative.