What is (d^2)/(dx^2)(x^{5/2}e^x) ?

The answer to (d^2)/(dx^2)(x^{5/2}e^x) is (20e^xx^{3/2}+15e^xx^{1/2}+4e^xx^{5/2})/4

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(d^2)/(dx^2)(x^{5/2}e^x)

\frac{d ^{2}}{d x ^{2}} (x^{\frac{5}{2}} e^{x})

\frac{20 e ^{x} x ^{\frac{3}{2}} + 15 e ^{x} x ^{\frac{1}{2}} + 4 e ^{x} x ^{\frac{5}{2}}}{4}

Solution steps

\frac{d ^{2}}{d x ^{2}} (x^{\frac{5}{2}} e^{x})

\frac{d}{d x} (x^{\frac{5}{2}} e^{x}) = \frac{5 e ^{x} x ^{\frac{3}{2}}}{2} + e^{x} x^{\frac{5}{2}}

= \frac{d}{d x} (\frac{5 e ^{x} x ^{\frac{3}{2}}}{2} + e^{x} x^{\frac{5}{2}})

\frac{d}{d x} (\frac{5 e ^{x} x ^{\frac{3}{2}}}{2} + e^{x} x^{\frac{5}{2}}) = \frac{20 e ^{x} x ^{\frac{3}{2}} + 15 e ^{x} x ^{\frac{1}{2}} + 4 e ^{x} x ^{\frac{5}{2}}}{4}

= \frac{20 e ^{x} x ^{\frac{3}{2}} + 15 e ^{x} x ^{\frac{1}{2}} + 4 e ^{x} x ^{\frac{5}{2}}}{4}

\int cos (0)

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

\frac{\partial}{\partial x} (x^{4} y - 4 x^{5} y^{2})

\frac{e ^{x} + 9 x}{3 x}

\int \frac{4 y}{y + 1} d y

What is (d^2)/(dx^2)(x^{5/2}e^x) ?
The answer to (d^2)/(dx^2)(x^{5/2}e^x) is (20e^xx^{3/2}+15e^xx^{1/2}+4e^xx^{5/2})/4