Solve -e^-x{x}^-frac{1{2}}+1/2(e^-x{x}^-frac{3{2}}+3/2(e^-x{x}^-frac{5{2}}+5/2(e^-x{x}^-frac{7{2}})))

Factor

-\frac{8x^{3}-4x^{2}-6x-15}{8x^{\frac{7}{2}}e^{x}}

Solution Steps

- { e }^{ -x } { x }^{ - \frac{ 1 }{ 2 } } + \frac{ 1 }{ 2 } ( { e }^{ -x } { x }^{ - \frac{ 3 }{ 2 } } + \frac{ 3 }{ 2 } ( { e }^{ -x } { x }^{ - \frac{ 5 }{ 2 } } + \frac{ 5 }{ 2 } ( { e }^{ -x } { x }^{ - \frac{ 7 }{ 2 } } )))

Factor out \frac{1}{8}.

\frac{-\frac{8}{e^{x}\sqrt{x}}+\frac{4}{e^{x}x^{\frac{3}{2}}}+3\left(\frac{2}{e^{x}x^{\frac{5}{2}}}+\frac{5}{e^{x}x^{\frac{7}{2}}}\right)}{8}

Evaluate

-\frac{8x^{3}-4x^{2}-6x-15}{8x^{\frac{7}{2}}e^{x}}

Graph

Quiz

Algebra

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\frac{-\frac{8}{e^{x}\sqrt{x}}+\frac{4}{e^{x}x^{\frac{3}{2}}}+3\left(\frac{2}{e^{x}x^{\frac{5}{2}}}+\frac{5}{e^{x}x^{\frac{7}{2}}}\right)}{8}

Factor out \frac{1}{8}.

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