Solve -y-12y+8y

$$- y - 12 y + 8 y$$

Evaluate

$$-5y$$

Solution Steps

Combine -12y and 8y to get -4y.

$$-y-4y$$

Combine -y and -4y to get -5y.

$$-5y$$

Differentiate w.r.t. y

$$-5$$

Steps Using Definition of a Derivative

Combine -12y and 8y to get -4y.

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

Combine -y and -4y to get -5y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-5y)$$

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

$$-5y^{1-1}$$

Subtract 1 from 1.

$$-5y^{0}$$

For any term t except 0, t^{0}=1.

$$-5$$