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Differentiate w.r.t. x
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\frac{1}{3}\left(-1\right)x^{\frac{1}{3}-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{1}{3}x^{\frac{1}{3}-1}
Multiply \frac{1}{3} times -1.
-\frac{1}{3}x^{-\frac{2}{3}}
Subtract 1 from \frac{1}{3}.