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Differentiate w.r.t. x
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3\times 10x^{3-1}+2\times 11x^{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}.
30x^{3-1}+2\times 11x^{2-1}
Multiply 3 times 10.
30x^{2}+2\times 11x^{2-1}
Subtract 1 from 3.
30x^{2}+22x^{2-1}
Multiply 2 times 11.
30x^{2}+22x^{1}
Subtract 1 from 2.
30x^{2}+22x
For any term t, t^{1}=t.