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Differentiate w.r.t. x
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7x^{7-1}+2x^{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}.
7x^{6}+2x^{2-1}
Subtract 1 from 7.
7x^{6}+2x^{1}
Subtract 1 from 2.
7x^{6}+2x
For any term t, t^{1}=t.