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Evaluate
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Differentiate w.r.t. w
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3+5w+3w+2
Subtract 4 from 7 to get 3.
3+8w+2
Combine 5w and 3w to get 8w.
5+8w
Add 3 and 2 to get 5.
\frac{\mathrm{d}}{\mathrm{d}w}(3+5w+3w+2)
Subtract 4 from 7 to get 3.
\frac{\mathrm{d}}{\mathrm{d}w}(3+8w+2)
Combine 5w and 3w to get 8w.
\frac{\mathrm{d}}{\mathrm{d}w}(5+8w)
Add 3 and 2 to get 5.
8w^{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}.
8w^{0}
Subtract 1 from 1.
8\times 1
For any term t except 0, t^{0}=1.
8
For any term t, t\times 1=t and 1t=t.