Solve 4x-6y-14-4x-2y+1

$$4 x - 6 y - 14 - 4 x - 2 y + 1$$

Evaluate

$$-8y-13$$

Solution Steps

Combine 4x and -4x to get 0.

$$-6y-14-2y+1$$

Combine -6y and -2y to get -8y.

$$-8y-14+1$$

Add -14 and 1 to get -13.

$$-8y-13$$

Differentiate w.r.t. y

$$-8$$

Steps Using Derivative Rule for Sum

Combine 4x and -4x to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-6y-14-2y+1)$$

Combine -6y and -2y to get -8y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-8y-14+1)$$

Add -14 and 1 to get -13.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-8y-13)$$

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}.

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

Subtract 1 from 1.

$$-8y^{0}$$

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

$$-8$$