Evaluate
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Differentiate w.r.t. x
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\left(x^{2}\right)^{-\frac{1}{2}}\left(y^{-1}\right)^{-\frac{1}{2}}
Expand \left(x^{2}y^{-1}\right)^{-\frac{1}{2}}.
x^{-1}\left(y^{-1}\right)^{-\frac{1}{2}}
To raise a power to another power, multiply the exponents. Multiply 2 and -\frac{1}{2} to get -1.
x^{-1}y^{\frac{1}{2}}
To raise a power to another power, multiply the exponents. Multiply -1 and -\frac{1}{2} to get \frac{1}{2}.