What is (d^2)/(dx^2)((x^3+8)e^x) ?

The answer to (d^2)/(dx^2)((x^3+8)e^x) is e^xx^3+6e^xx^2+6e^xx+8e^x

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(d^2)/(dx^2)((x^3+8)e^x)

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 8) e^{x})

e^{x} x^{3} + 6 e^{x} x^{2} + 6 e^{x} x + 8 e^{x}

Solution steps

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 8) e^{x})

\frac{d}{d x} ((x^{3} + 8) e^{x}) = 3 x^{2} e^{x} + e^{x} (x^{3} + 8)

= \frac{d}{d x} (3 x^{2} e^{x} + e^{x} (x^{3} + 8))

\frac{d}{d x} (3 x^{2} e^{x} + e^{x} (x^{3} + 8)) = e^{x} x^{3} + 6 e^{x} x^{2} + 6 e^{x} x + 8 e^{x}

= e^{x} x^{3} + 6 e^{x} x^{2} + 6 e^{x} x + 8 e^{x}

\frac{d}{d x} (r (x) x)

x \cdot e^{x}

x \to 2 lim (8)

\int - e^{2 - x} d x

\frac{\partial}{\partial x} (x sin (x + 2 y))

What is (d^2)/(dx^2)((x^3+8)e^x) ?
The answer to (d^2)/(dx^2)((x^3+8)e^x) is e^xx^3+6e^xx^2+6e^xx+8e^x