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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(81x^{2})
Multiply 9 and 9 to get 81.
2\times 81x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
162x^{2-1}
Multiply 2 times 81.
162x^{1}
Subtract 1 from 2.
162x
For any term t, t^{1}=t.
81x^{2}
Multiply 9 and 9 to get 81.