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