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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(6x^{2}-5)
Subtract 2 from -3 to get -5.
2\times 6x^{2-1}
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}.
12x^{2-1}
Multiply 2 times 6.
12x^{1}
Subtract 1 from 2.
12x
For any term t, t^{1}=t.
6x^{2}-5
Subtract 2 from -3 to get -5.