What is (d^2)/(dx^2)(sqrt(x)e^x) ?

The answer to (d^2)/(dx^2)(sqrt(x)e^x) is (4e^xx^2+4e^xx-e^x)/(4xsqrt(x))

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(d^2)/(dx^2)(sqrt(x)e^x)

\frac{d ^{2}}{d x ^{2}} (x e^{x})

\frac{4 e ^{x} x ^{2} + 4 e ^{x} x - e ^{x}}{4 x x}

Solution steps

\frac{d ^{2}}{d x ^{2}} (x e^{x})

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

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

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

= \frac{4 e ^{x} x ^{2} + 4 e ^{x} x - e ^{x}}{4 x x}

\frac{d}{d x} (ln (\frac{( 1 - x )}{( x + 5 ) ^{3}}))

\frac{d}{d x} (cos (\frac{π x}{2}))

\frac{\partial}{\partial x} (6 x + 12)

\frac{\partial}{\partial t} (40 y + z + 10 t)

\frac{( s + 1 )}{( s + 1 ) ^{2}}

What is (d^2)/(dx^2)(sqrt(x)e^x) ?
The answer to (d^2)/(dx^2)(sqrt(x)e^x) is (4e^xx^2+4e^xx-e^x)/(4xsqrt(x))