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Differentiate w.r.t. a
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-\frac{1}{6}ab-\frac{5}{2}b+\frac{5}{2}b
Combine -\frac{1}{2}ab and \frac{1}{3}ab to get -\frac{1}{6}ab.
-\frac{1}{6}ab
Combine -\frac{5}{2}b and \frac{5}{2}b to get 0.