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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(49x^{2}-40)
Add -56 and 16 to get -40.
2\times 49x^{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}.
98x^{2-1}
Multiply 2 times 49.
98x^{1}
Subtract 1 from 2.
98x
For any term t, t^{1}=t.
49x^{2}-40
Add -56 and 16 to get -40.