Solve -y^2-3y^2

$$- y ^ { 2 } - 3 y ^ { 2 }$$

Differentiate w.r.t. y

$$-8y$$

Steps Using Definition of a Derivative

Combine -y^{2} and -3y^{2} to get -4y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-4y^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\left(-4\right)y^{2-1}$$

Multiply 2 times -4.

$$-8y^{2-1}$$

Subtract 1 from 2.

$$-8y^{1}$$

For any term t, t^{1}=t.

$$-8y$$

Evaluate

$$-4y^{2}$$

Solution Steps

Combine -y^{2} and -3y^{2} to get -4y^{2}.

$$-4y^{2}$$