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Differentiate w.r.t. y
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\frac{\mathrm{d}}{\mathrm{d}y}(-4y^{2})
Multiply y and y to get y^{2}.
2\left(-4\right)y^{2-1}
The derivative of ax^{n} is nax^{n-1}.
-8y^{2-1}
Multiply 2 times -4.
-8y^{1}
Subtract 1 from 2.
-8y
For any term t, t^{1}=t.
-4y^{2}
Multiply y and y to get y^{2}.