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Evaluate
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Differentiate w.r.t. x
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\frac{-\left(\sqrt{x}\right)^{3}}{2\sqrt{x}}
Express \left(\sqrt{x}\right)^{3}\left(-\frac{1}{2\sqrt{x}}\right) as a single fraction.
\frac{-\left(\sqrt{x}\right)^{2}}{2}
Cancel out \sqrt{x} in both numerator and denominator.
\frac{-x}{2}
Calculate \sqrt{x} to the power of 2 and get x.