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Differentiate w.r.t. b
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\frac{\mathrm{d}}{\mathrm{d}b}(81+b^{2})
Calculate 9 to the power of 2 and get 81.
2b^{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}.
2b^{1}
Subtract 1 from 2.
2b
For any term t, t^{1}=t.
81+b^{2}
Calculate 9 to the power of 2 and get 81.