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Differentiate w.r.t. y
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\frac{\mathrm{d}}{\mathrm{d}y}(-\frac{1}{6}y)
Combine \frac{1}{2}y and -\frac{2}{3}y to get -\frac{1}{6}y.
-\frac{1}{6}y^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{1}{6}y^{0}
Subtract 1 from 1.
-\frac{1}{6}
For any term t except 0, t^{0}=1.
-\frac{1}{6}y
Combine \frac{1}{2}y and -\frac{2}{3}y to get -\frac{1}{6}y.