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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(10x^{2}+29)
Add 23 and 6 to get 29.
2\times 10x^{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}.
20x^{2-1}
Multiply 2 times 10.
20x^{1}
Subtract 1 from 2.
20x
For any term t, t^{1}=t.
10x^{2}+29
Add 23 and 6 to get 29.