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

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

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

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

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

Solution steps

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

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

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

\int 1 + x d x

f (x) = 1 - x^{2}

\int y (1 + 3 + y^{2}) d y

n = 1 \sum \infty 14

8 - x

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