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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(-63-4x^{2})
Subtract 81 from 18 to get -63.
2\left(-4\right)x^{2-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
-8x^{2-1}
Multiply 2 times -4.
-8x^{1}
Subtract 1 from 2.
-8x
For any term t, t^{1}=t.
-63-4x^{2}
Subtract 81 from 18 to get -63.