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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(2x^{3}-5)
Cancel out x in both numerator and denominator.
3\times 2x^{3-1}
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^{3-1}
Multiply 3 times 2.
6x^{2}
Subtract 1 from 3.
2x^{3}-5
Cancel out x in both numerator and denominator.