What is (\partial ^2)/(\partial x^2)(1/(sqrt(xy))) ?

The answer to (\partial ^2)/(\partial x^2)(1/(sqrt(xy))) is 3/(4x^{5/2)y^{1/2}}

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(\partial ^2)/(\partial x^2)(1/(sqrt(xy)))

\frac{\partial ^{2}}{\partial x ^{2}} (\frac{1}{x y})

\frac{3}{4 x ^{\frac{5}{2}} y ^{\frac{1}{2}}}

Solution steps

\frac{\partial ^{2}}{\partial x ^{2}} (\frac{1}{x y})

\frac{\partial}{\partial x} (\frac{1}{x y}) = - \frac{1}{2 x ^{\frac{3}{2}} y ^{\frac{1}{2}}}

= \frac{\partial}{\partial x} (- \frac{1}{2 x ^{\frac{3}{2}} y ^{\frac{1}{2}}})

\frac{\partial}{\partial x} (- \frac{1}{2 x ^{\frac{3}{2}} y ^{\frac{1}{2}}}) = \frac{3}{4 x ^{\frac{5}{2}} y ^{\frac{1}{2}}}

= \frac{3}{4 x ^{\frac{5}{2}} y ^{\frac{1}{2}}}

\int x sin (\frac{1}{6} x) d x

\int \frac{4}{x - 4} d x

\frac{156}{x}, - 49 x + 189

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

y^{^{''}} + 4 y^{^{'}} + 7 y = 0, y (0) = - 2, y^{^{'}} (0) = 4

What is (\partial ^2)/(\partial x^2)(1/(sqrt(xy))) ?
The answer to (\partial ^2)/(\partial x^2)(1/(sqrt(xy))) is 3/(4x^{5/2)y^{1/2}}