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Differentiate w.r.t. q
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7\times \frac{3}{4}q^{7-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{21}{4}q^{7-1}
Multiply 7 times \frac{3}{4}.
\frac{21}{4}q^{6}
Subtract 1 from 7.