Solve -4y+23+y+(-12)

$$- 4 y + 23 + y + ( - 12 )$$

Evaluate

$$11-3y$$

Solution Steps

Combine -4y and y to get -3y.

$$-3y+23-12$$

Subtract 12 from 23 to get 11.

$$-3y+11$$

Differentiate w.r.t. y

$$-3$$

Steps Using Derivative Rule for Sum

Combine -4y and y to get -3y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-3y+23-12)$$

Subtract 12 from 23 to get 11.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-3y+11)$$

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}.

$$-3y^{1-1}$$

Subtract 1 from 1.

$$-3y^{0}$$

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

$$-3$$