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Differentiate w.r.t. y
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\frac{\mathrm{d}}{\mathrm{d}y}(y^{2}-2)
Calculate the square root of 4 and get 2.
2y^{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}.
2y^{1}
Subtract 1 from 2.
2y
For any term t, t^{1}=t.
y^{2}-2
Calculate the square root of 4 and get 2.