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Differentiate w.r.t. w
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\frac{\mathrm{d}}{\mathrm{d}w}(15+2w)
Add -2 and 2 to get 0.
2w^{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}.
2w^{0}
Subtract 1 from 1.
2\times 1
For any term t except 0, t^{0}=1.
2
For any term t, t\times 1=t and 1t=t.
15+2w
Add -2 and 2 to get 0.