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Differentiate w.r.t. m
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4m^{4-1}+2m^{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}.
4m^{3}+2m^{2-1}
Subtract 1 from 4.
4m^{3}+2m^{1}
Subtract 1 from 2.
4m^{3}+2m
For any term t, t^{1}=t.