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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(13x^{3}+1)
Combine 7x^{3} and 6x^{3} to get 13x^{3}.
3\times 13x^{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}.
39x^{3-1}
Multiply 3 times 13.
39x^{2}
Subtract 1 from 3.
13x^{3}+1
Combine 7x^{3} and 6x^{3} to get 13x^{3}.