Solve -4y-2y-12y-y

$$- 4 y - 2 y - 12 y - y$$

Evaluate

$$-19y$$

Solution Steps

Combine -4y and -2y to get -6y.

$$-6y-12y-y$$

Combine -6y and -12y to get -18y.

$$-18y-y$$

Combine -18y and -y to get -19y.

$$-19y$$

Differentiate w.r.t. y

$$-19$$

Steps Using Definition of a Derivative

Combine -4y and -2y to get -6y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-6y-12y-y)$$

Combine -6y and -12y to get -18y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-18y-y)$$

Combine -18y and -y to get -19y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-19y)$$

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

$$-19y^{1-1}$$

Subtract 1 from 1.

$$-19y^{0}$$

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

$$-19$$