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Differentiate w.r.t. x
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20\times 21x^{20-1}+10\times 11x^{10-1}
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}.
420x^{20-1}+10\times 11x^{10-1}
Multiply 20 times 21.
420x^{19}+10\times 11x^{10-1}
Subtract 1 from 20.
420x^{19}+110x^{10-1}
Multiply 10 times 11.
420x^{19}+110x^{9}
Subtract 1 from 10.