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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(81x^{8})
Calculate 3 to the power of 4 and get 81.
8\times 81x^{8-1}
The derivative of ax^{n} is nax^{n-1}.
648x^{8-1}
Multiply 8 times 81.
648x^{7}
Subtract 1 from 8.
81x^{8}
Calculate 3 to the power of 4 and get 81.