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Differentiate w.r.t. x
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4\times 5x^{4-1}-3x^{1-1}
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}.
20x^{4-1}-3x^{1-1}
Multiply 4 times 5.
20x^{3}-3x^{1-1}
Subtract 1 from 4.
20x^{3}-3x^{0}
Subtract 1 from 1.
20x^{3}-3
For any term t except 0, t^{0}=1.