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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(96x^{2})
Divide 192x^{2} by 2 to get 96x^{2}.
2\times 96x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
192x^{2-1}
Multiply 2 times 96.
192x^{1}
Subtract 1 from 2.
192x
For any term t, t^{1}=t.
96x^{2}
Divide 192x^{2} by 2 to get 96x^{2}.