Differentiate w.r.t. m
18m^{2}+7
Evaluate
6m^{3}+7m-3
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3\times 6m^{3-1}+7m^{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}.
18m^{3-1}+7m^{1-1}
Multiply 3 times 6.
18m^{2}+7m^{1-1}
Subtract 1 from 3.
18m^{2}+7m^{0}
Subtract 1 from 1.
18m^{2}+7\times 1
For any term t except 0, t^{0}=1.
18m^{2}+7
For any term t, t\times 1=t and 1t=t.
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