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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-3)
Calculate x^{6}-3 to the power of 1 and get x^{6}-3.
6x^{6-1}
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}.
6x^{5}
Subtract 1 from 6.
x^{6}-3
Calculate x^{6}-3 to the power of 1 and get x^{6}-3.