What is (d^2)/(dx^2)((x^3+4)e^x) ?

The answer to (d^2)/(dx^2)((x^3+4)e^x) is e^xx^3+6e^xx^2+6e^xx+4e^x

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(d^2)/(dx^2)((x^3+4)e^x)

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 4) e^{x})

e^{x} x^{3} + 6 e^{x} x^{2} + 6 e^{x} x + 4 e^{x}

Solution steps

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 4) e^{x})

\frac{d}{d x} ((x^{3} + 4) e^{x}) = 3 x^{2} e^{x} + e^{x} (x^{3} + 4)

= \frac{d}{d x} (3 x^{2} e^{x} + e^{x} (x^{3} + 4))

\frac{d}{d x} (3 x^{2} e^{x} + e^{x} (x^{3} + 4)) = e^{x} x^{3} + 6 e^{x} x^{2} + 6 e^{x} x + 4 e^{x}

= e^{x} x^{3} + 6 e^{x} x^{2} + 6 e^{x} x + 4 e^{x}

ln (1 + 9 x)

\frac{\partial}{\partial a} (e^{a} sin (a + b (a)))

\int \frac{x ^{5}}{x ^{2} + 2} d x

ln (x)

sin (x) 2

What is (d^2)/(dx^2)((x^3+4)e^x) ?
The answer to (d^2)/(dx^2)((x^3+4)e^x) is e^xx^3+6e^xx^2+6e^xx+4e^x