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Differentiate w.r.t. m
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5m^{5-1}+3m^{3-1}
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}.
5m^{4}+3m^{3-1}
Subtract 1 from 5.
5m^{4}+3m^{2}
Subtract 1 from 3.