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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(27x^{2})
Calculate 3 to the power of 3 and get 27.
2\times 27x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
54x^{2-1}
Multiply 2 times 27.
54x^{1}
Subtract 1 from 2.
54x
For any term t, t^{1}=t.
27x^{2}
Calculate 3 to the power of 3 and get 27.