Differentiate w.r.t. x
-\frac{27x}{2}
Evaluate
-\frac{27x^{2}}{4}
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\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{27}{4}x^{2})
Multiply \frac{9}{4} and -3 to get -\frac{27}{4}.
2\left(-\frac{27}{4}\right)x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{27}{2}x^{2-1}
Multiply 2 times -\frac{27}{4}.
-\frac{27}{2}x^{1}
Subtract 1 from 2.
-\frac{27}{2}x
For any term t, t^{1}=t.
-\frac{27}{4}x^{2}
Multiply \frac{9}{4} and -3 to get -\frac{27}{4}.
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