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