Differentiate w.r.t. q
\frac{1}{2\sqrt{q}}
Evaluate
\sqrt{q}
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\frac{1}{2}q^{\frac{1}{2}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{1}{2}q^{-\frac{1}{2}}
Subtract 1 from \frac{1}{2}.
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