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Differentiate w.r.t. x
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4\times 198x^{4-1}+12\times 81x^{12-1}
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}.
792x^{4-1}+12\times 81x^{12-1}
Multiply 4 times 198.
792x^{3}+12\times 81x^{12-1}
Subtract 1 from 4.
792x^{3}+972x^{12-1}
Multiply 12 times 81.
792x^{3}+972x^{11}
Subtract 1 from 12.