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Differentiate w.r.t. ω
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37\omega ^{37-1}+38\omega ^{38-1}
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}.
37\omega ^{36}+38\omega ^{38-1}
Subtract 1 from 37.
37\omega ^{36}+38\omega ^{37}
Subtract 1 from 38.